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Finding the Fourth Proportional to 396,652,997.40, 594,979,496.10 and 396,652,997.40

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Solution

The fourth proportional to 396,652,997.40, 594,979,496.10 and 396,652,997.40 is: 594,979,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,652,997.40 : 594,979,496.10 = 396,652,997.40 : x
  2. Step 2: Convert to fraction form
    396,652,997.40/594,979,496.10 = 396,652,997.40/x
  3. Step 3: Cross multiply
    396,652,997.40x = 594,979,496.10 × 396,652,997.40
  4. Step 4: Simplify right side
    396,652,997.40x = 236,000,400,519,606,592
  5. Step 5: Solve for x
    x = 236,000,400,519,606,592/396,652,997.40
  6. Step 6: Final answer
    x = 594,979,496.10

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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.