In 10 days, the earth picks up 2.6 x `10^8` pounds of dust from the atmosphere. How much duct will it pick up in 45 days?

Explanation

In `10` days dust is picked up `=2.6x108` pounds.
Let `x` pounds of dust is picked up in `= 45` days.
Therefore :
Days(in pounds)2.6×10^8x`
∴ 102.6×10^8`
`=45x(constant)10×x`
`=45×2.6×10^8 xx 10 xx x`
`=45×2.6×10^8`
`=117×10^8−1`
`=11.7×10^8−1+1`
`=11.7×10^8`
∴ Weight of dust `= 11.7×10^8` pounds