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Finding the Fourth Proportional to 647,438,793.90, 971,158,190.85 and 647,438,793.90

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Solution

The fourth proportional to 647,438,793.90, 971,158,190.85 and 647,438,793.90 is: 971,158,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,438,793.90 : 971,158,190.85 = 647,438,793.90 : x
  2. Step 2: Convert to fraction form
    647,438,793.90/971,158,190.85 = 647,438,793.90/x
  3. Step 3: Cross multiply
    647,438,793.90x = 971,158,190.85 × 647,438,793.90
  4. Step 4: Simplify right side
    647,438,793.90x = 628,765,487,770,029,952
  5. Step 5: Solve for x
    x = 628,765,487,770,029,952/647,438,793.90
  6. Step 6: Final answer
    x = 971,158,190.85

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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.