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Finding the Fourth Proportional to 314,251,988.85, 471,377,983.28 and 314,251,988.85

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Solution

The fourth proportional to 314,251,988.85, 471,377,983.28 and 314,251,988.85 is: 471,377,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,251,988.85 : 471,377,983.28 = 314,251,988.85 : x
  2. Step 2: Convert to fraction form
    314,251,988.85/471,377,983.28 = 314,251,988.85/x
  3. Step 3: Cross multiply
    314,251,988.85x = 471,377,983.28 × 314,251,988.85
  4. Step 4: Simplify right side
    314,251,988.85x = 148,131,468,744,270,784
  5. Step 5: Solve for x
    x = 148,131,468,744,270,784/314,251,988.85
  6. Step 6: Final answer
    x = 471,377,983.28

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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.