Total amount = 1 billion dollars = 1*10^9 dollars
Counting speed = $1.46 per second
Number of seconds in a year = 3.154*10^7 sec
Amount counted in one year = Counting speed*number of seconds in a year
Amount counted in one year = 1.46*3.154*10^7 = 46048400 dollars
Now time taken to count 1 billion dollars in year
time taken = total amount/Amount counted per year
time taken = 1*10^9/46048400 = 21.7 years
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