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Finding the Fourth Proportional to 534,905,103.70, 747,336,595.10 and 534,905,103.70

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Solution

The fourth proportional to 534,905,103.70, 747,336,595.10 and 534,905,103.70 is: 747,336,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,905,103.70 : 747,336,595.10 = 534,905,103.70 : x
  2. Step 2: Convert to fraction form
    534,905,103.70/747,336,595.10 = 534,905,103.70/x
  3. Step 3: Cross multiply
    534,905,103.70x = 747,336,595.10 × 534,905,103.70
  4. Step 4: Simplify right side
    534,905,103.70x = 399,754,158,900,770,432
  5. Step 5: Solve for x
    x = 399,754,158,900,770,432/534,905,103.70
  6. Step 6: Final answer
    x = 747,336,595.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.