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Finding the Fourth Proportional to 497,408,231.70, 744,677,456.85 and 497,408,231.70

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Solution

The fourth proportional to 497,408,231.70, 744,677,456.85 and 497,408,231.70 is: 744,677,456.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,408,231.70 : 744,677,456.85 = 497,408,231.70 : x
  2. Step 2: Convert to fraction form
    497,408,231.70/744,677,456.85 = 497,408,231.70/x
  3. Step 3: Cross multiply
    497,408,231.70x = 744,677,456.85 × 497,408,231.70
  4. Step 4: Simplify right side
    497,408,231.70x = 370,408,696,998,611,584
  5. Step 5: Solve for x
    x = 370,408,696,998,611,584/497,408,231.70
  6. Step 6: Final answer
    x = 744,677,456.85

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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.