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Finding the Fourth Proportional to 376,098,167.80, 564,147,251.70 and 376,098,167.80

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Solution

The fourth proportional to 376,098,167.80, 564,147,251.70 and 376,098,167.80 is: 564,147,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,098,167.80 : 564,147,251.70 = 376,098,167.80 : x
  2. Step 2: Convert to fraction form
    376,098,167.80/564,147,251.70 = 376,098,167.80/x
  3. Step 3: Cross multiply
    376,098,167.80x = 564,147,251.70 × 376,098,167.80
  4. Step 4: Simplify right side
    376,098,167.80x = 212,174,747,733,775,456
  5. Step 5: Solve for x
    x = 212,174,747,733,775,456/376,098,167.80
  6. Step 6: Final answer
    x = 564,147,251.70

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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.