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Finding the Fourth Proportional to 409,793,776.29, 614,690,769.06 and 114,732,366.30

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Solution

The fourth proportional to 409,793,776.29, 614,690,769.06 and 114,732,366.30 is: 172,098,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,793,776.29 : 614,690,769.06 = 114,732,366.30 : x
  2. Step 2: Convert to fraction form
    409,793,776.29/614,690,769.06 = 114,732,366.30/x
  3. Step 3: Cross multiply
    409,793,776.29x = 614,690,769.06 × 114,732,366.30
  4. Step 4: Simplify right side
    409,793,776.29x = 70,524,926,477,020,616
  5. Step 5: Solve for x
    x = 70,524,926,477,020,616/409,793,776.29
  6. Step 6: Final answer
    x = 172,098,578.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.