If I want to talk about problem solving,
Don't overestimate yourself. What you think you can decide for a rich person means that anyone can do it, and therefore it is not a problem for a rich person.
Look at Elon Musk; he always has a "headache" about something, then he needs a flight to the moon, and then he urgently needs to rename Twitter, something that is already working in principle. Are you able to solve his problems? I doubt. He makes them every morning.
But if we talk about the poor, then many of them will not be able to live in wealth, even if they are helped with money. They have their own views on life, and there are a lot of poor people who simply do not want to live better. Just talking about desire is not enough; there are many examples in history of how guys from poor families achieved success on their own.
Therefore, the poor and the rich are the normal balance of the world; they were and will be. As it is impossible to solve all the problems of the rich. Likewise, one cannot help eradicate poverty.
Buddhists would probably call it karma.