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Finding the Fourth Proportional to 381,287,714.70, 571,931,572.05 and 381,287,714.70

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Solution

The fourth proportional to 381,287,714.70, 571,931,572.05 and 381,287,714.70 is: 571,931,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,287,714.70 : 571,931,572.05 = 381,287,714.70 : x
  2. Step 2: Convert to fraction form
    381,287,714.70/571,931,572.05 = 381,287,714.70/x
  3. Step 3: Cross multiply
    381,287,714.70x = 571,931,572.05 × 381,287,714.70
  4. Step 4: Simplify right side
    381,287,714.70x = 218,070,482,071,722,880
  5. Step 5: Solve for x
    x = 218,070,482,071,722,880/381,287,714.70
  6. Step 6: Final answer
    x = 571,931,572.05

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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.