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Finding the Fourth Proportional to 381,287,713.20, 571,931,569.80 and 381,287,713.20

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Solution

The fourth proportional to 381,287,713.20, 571,931,569.80 and 381,287,713.20 is: 571,931,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,287,713.20 : 571,931,569.80 = 381,287,713.20 : x
  2. Step 2: Convert to fraction form
    381,287,713.20/571,931,569.80 = 381,287,713.20/x
  3. Step 3: Cross multiply
    381,287,713.20x = 571,931,569.80 × 381,287,713.20
  4. Step 4: Simplify right side
    381,287,713.20x = 218,070,480,355,928,160
  5. Step 5: Solve for x
    x = 218,070,480,355,928,160/381,287,713.20
  6. Step 6: Final answer
    x = 571,931,569.80

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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.