It's really not about who's richer. By that logic, if we just gave up all our wealth brought to us by democracy and "evil" capitalism, we could be just as destitute and hungry as them. I have to point out the similarity I see to survivors' guilt in what you are implying.
The only solution I ever hear put forth for addressing economic inequality is to reduce all of us to a common baseline through taxation, regulation, and sending our wealth elsewhere. Maybe what we really need to focus on is sharing our ideals rather than striving to share their pain. Some of the thoughts mentioned previously in this thread on colonialism were very thought-provoking.
It is interesting, that if the US is only 3 times more wealthy, how much more mileage we are getting out of our money here--and how much more equitable our system of government must be. I know I am more than 3 times better fed than the starving Africans portrayed on TV. And I have a TV to watch them on, in a waterproof house with climate control. I am not saying that to be insensitive, just that it does give some credibility to the idea of exporting American ideals. Call it imperialism if you must.