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Finding the Fourth Proportional to 458,723,489.70, 688,085,234.55 and 458,723,489.70

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Solution

The fourth proportional to 458,723,489.70, 688,085,234.55 and 458,723,489.70 is: 688,085,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,723,489.70 : 688,085,234.55 = 458,723,489.70 : x
  2. Step 2: Convert to fraction form
    458,723,489.70/688,085,234.55 = 458,723,489.70/x
  3. Step 3: Cross multiply
    458,723,489.70x = 688,085,234.55 × 458,723,489.70
  4. Step 4: Simplify right side
    458,723,489.70x = 315,640,860,003,819,008
  5. Step 5: Solve for x
    x = 315,640,860,003,819,008/458,723,489.70
  6. Step 6: Final answer
    x = 688,085,234.55

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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.