Maitiú you sir, are an idealist. As much as I wish for world peace and happiness, let's be pragmatic. These figures don't mean much. Third world countries ultimately have to dig themselves up from their own shit just like everyone else had to.
USA and EU weren't simply handed all the benefits we enjoy today because someone richer decided to stop spending money on perfumes and give all that cash to us. We created our fortunes through centuries of learning, invention and evolution and along the way, reshaped society as a whole.
Has it been smooth sailing? No, but is it ever?
Did we create new problems when we solved old ones? Yes. It's a never-ending cycle and some of the problems we're facing now will be long forgotten in a few decades.
Try managing a medium-sized organization and you'll see that problems aren't solved simply by reallocating cash. This isn't Sim City.
I think it's commendable you want to inspire change. It's rare and much needed. But if you want to do that, act within your area of influence. Go to Haiti, bring vaccines for kids and teach them how to read. But don't give them half of Europe's ice-cream money. You'll just spoil them.