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Finding the Fourth Proportional to 534,924,266.20, 802,386,399.30 and 534,924,266.20

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Solution

The fourth proportional to 534,924,266.20, 802,386,399.30 and 534,924,266.20 is: 802,386,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,924,266.20 : 802,386,399.30 = 534,924,266.20 : x
  2. Step 2: Convert to fraction form
    534,924,266.20/802,386,399.30 = 534,924,266.20/x
  3. Step 3: Cross multiply
    534,924,266.20x = 802,386,399.30 × 534,924,266.20
  4. Step 4: Simplify right side
    534,924,266.20x = 429,215,955,854,412,672
  5. Step 5: Solve for x
    x = 429,215,955,854,412,672/534,924,266.20
  6. Step 6: Final answer
    x = 802,386,399.30

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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.