Step one: get an income of some sort.

Step two: increase your income by investing in something that tangibly augments it. Flipping burgers? Save some money from your paycheck until you can flip burgers and buy a broken down bike, fix it up, and resell it. Eventually, you'll make more money doing something other than flipping burgers (or fixing bikes, or whatever pragmatic scheme you employ to get extra income--pragmatic is key here, because you already have a "steady paycheck" you can use it to try out all kinds of small time enterprises after some research and not worry about going hungry) and when your income is high enough and sustainable, you can borrow money to further that enterprise. That's step three.

Borrow a lot of money and expand the way you make income. Partner with people, figure out the expenses, develop a plan (don't worry, they won't let you borrow enough money if you don't have a decent plan or enough partners or know what the hell you are doing), hire employees to do most of it, sit back and collect profits. Hire a good tax man to help you write off everything (government is pretty generous with new enterprises) and keep yourself protected (becoming an LLC, partnering, incorporating, etc.)

Step Four: Congratulations! You're already "rich". How do you keep it? Well, you can invest a hunk of the profits you're not using to put back into your company (always try to BOTH cut costs of business and expand/innovate/differentiate your product or service or you'll slowly lose money) in basic CDs or in bonds. Hire someone to develop a portfolio for you, but once you get to this step you've got to make a decision: Do you want to keep struggling against competitors and market chaos because "I believe in my service/product", or do you want out?

Step Five: if you really believe in whatever it is you're doing, hire more people who have experience and education (oddly enough education is more important than experience--despite the common sense of the reverse) to basically expand your business for you. Eventually you'll be so big you won't have to expand yourself, you'll just buy up smaller competitors. There are tricks to keep doing this until you're a virtual monopoly, legally. This step is INSANELY DIFFICULT and has little reward other than ideological. If you want out skip to step six.

Step six: you're going to want to get big enough for people to offer to buy you out. This means being dangerous. You start underselling your competitors even if you lose money and when you get attention you hire some brokers and put out an IPO, making sure you keep the 51% needed to have a controlling interest. You're going to want to promise immediate sale of the company once you get enough stock to really undersell the competition. Now, if you truly want to make money it's probably best to keep that promise. Yes, the company becomes your private piggy bank and there are many ways to manipulate everyone, but it's unsustainable. You can't keep the losses from the shareholders forever and you can't defer paying dividends forever. Once you are truly dangerous to the bigger fish, they'll buy you out at a good price.

In truth, though, if all you want is to get a house like OP's pic, might as well be a pain in the ass to your business partners and let them buy you out earlier than having to mess around with IPOs.