At the end of a year, the gross debt of a country stood at about $$ \$ 15 $$ trillion. Express this amount in dollars per person, assuming that the population of the country is about 324 million.

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To calculate the debt per person, follow these steps:

1. **Understand the Units**:
   - **Gross Debt**: $$ \$15 $$ trillion
     - $$ 1 $$ trillion $$ = 10^{12} $$ dollars
   - **Population**: $$ 324 $$ million
     - $$ 1 $$ million $$ = 10^{6} $$ people

2. **Convert the Values**:
   $$
   \text{Total Debt} = 15 \times 10^{12} \text{ dollars}
   $$
   $$
   \text{Population} = 324 \times 10^{6} \text{ people}
   $$

3. **Calculate Debt Per Person**:
   $$
   \text{Debt per Person} = \frac{15 \times 10^{12}}{324 \times 10^{6}} = \frac{15}{324} \times 10^{6}
   $$
   
4. **Simplify the Fraction**:
   $$
   \frac{15}{324} = \frac{5}{108} \approx 0.0463
   $$
   
5. **Final Calculation**:
   $$
   0.0463 \times 10^{6} = 46,300 \text{ dollars per person}
   $$

**Therefore, the gross debt per person is approximately \$46,300.**
The gross debt per person is approximately \$46,300.

At the end of a year, the gross debt of a country stood at about \( \$ 15 \) trillion. Express this amount in dollars per person, assuming that the population of the country is about 324 million.

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