Well, part of that wealth allowed him to travel and be trained by the best martial artist. (In the Nolan verse he didn't even need the money to be recruited by ras) then he also educated himself in all sciences and somehow through pure obsession and determination became the best detective mind in the DC universe. I do agree the money helped him aquire these skills although when he's in the field dodging bullets, outsmarting villians and kicking ass the money thing is hardly ever the solution to the threat to the entire planet, or all of reality for that matter. Batman's power is his will power and determination and I will no longer stand for this diminishing description of character.