Finding the Fourth Proportional to 296,717,703.96, 409,544,841.76 and 201,509,307.29
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Solution
The fourth proportional to 296,717,703.96, 409,544,841.76 and 201,509,307.29 is: 278,133,378.18
Step by Step Solution
- Step 1: Write the proportion equation
296,717,703.96 : 409,544,841.76 = 201,509,307.29 : x - Step 2: Convert to fraction form
296,717,703.96/409,544,841.76 = 201,509,307.29/x - Step 3: Cross multiply
296,717,703.96x = 409,544,841.76 × 201,509,307.29 - Step 4: Simplify right side
296,717,703.96x = 82,527,097,367,770,352 - Step 5: Solve for x
x = 82,527,097,367,770,352/296,717,703.96 - Step 6: Final answer
x = 278,133,378.18
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.