Yes a moral problem of epic proportion. No, not the rich wanting more
In African, near Eastern and Latin American countries the greatest problem is corruption from the bottom to the top. Fix that and you fix a great deal of poverty. But how do you fix that???
I know about corruption in Latin America because I lived there and participated in corruption as much as the next. Corruption is deeply rooted. Everyone takes shortcuts because... well... everyone does it. Corruption is the main cause of the great gap between the rich and the poor. Talent comes second.