A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains ofwheat, on the thirdsquare, four grains ofwheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remainingsquares, what is the total weight in tons of all the wheat that will be placed on the first 45

45 squares? (Assume that each grain of wheat weighs1/7000 pound. Remember that 1 ton equals =2000 lbs.)