Problem
In a recent year, the population of a country was approximately 306.4 million. Complete parts (a) through (c) below. (a) Write the population using scientific notation. \[ 306.4 \text { million }=3.064 \times 10^{8} \] (Use scientific notation. Use the multiplication symbol in the math palette as needed.) (b) Write $\$ 1$ trillion $(\$ 1,000,000,000,000)$ using scientific notation. \[ \$ 1,000,000,000,000=1 \times 10^{12} \] (Use scientific notation. Use the multiplication symbol in the math palette as needed.) (c) Using the answers from parts (a) and (b), calculate how much each person in the country would have to contribute to make someone a trillionaire. Each person would have to contribute approximately $\$ \square$. (Round to the nearest dollar as needed.)
Solution
Step 1 ：The population of the country is given as 306.4 million. In scientific notation, this can be written as \(3.064 \times 10^{8}\).
Step 2 ：The total amount of money is given as $1 trillion. In scientific notation, this can be written as \(1 \times 10^{12}\).
Step 3 ：To find out how much each person in the country would have to contribute to make someone a trillionaire, we need to divide the total amount of money by the total population.
Step 4 ：The calculation is \( \frac{1 \times 10^{12}}{3.064 \times 10^{8}} \).
Step 5 ：The result of this calculation is approximately 3263.7075718015667 dollars per person.
Step 6 ：Rounding to the nearest dollar, we find that each person would have to contribute approximately \(\boxed{3264}\) dollars.
