The economies of the developing world will feel the earliest and greatest impact from bitcoin. Not only are bitcoin’s enormous benefits very personal, they are also contextual depending on your political geography.
Individuals residing in high-inflation countries with relatively sufficient Internet access as a percentage of population do seek refuge in bitcoin.
I don't think we can say it's solved inflation yet with the price fluctuations, but it'll be interesting to see if a country or the people of a country ever adopt it as a means of attempting to combat inflation / store wealth.