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Finding the Fourth Proportional to 128,892,231,874.60, 193,338,347,811.90 and 128,892,231,874.60

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Solution

The fourth proportional to 128,892,231,874.60, 193,338,347,811.90 and 128,892,231,874.60 is: 193,338,347,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,892,231,874.60 : 193,338,347,811.90 = 128,892,231,874.60 : x
  2. Step 2: Convert to fraction form
    128,892,231,874.60/193,338,347,811.90 = 128,892,231,874.60/x
  3. Step 3: Cross multiply
    128,892,231,874.60x = 193,338,347,811.90 × 128,892,231,874.60
  4. Step 4: Simplify right side
    128,892,231,874.60x = 24,919,811,156,423,479,394,304
  5. Step 5: Solve for x
    x = 24,919,811,156,423,479,394,304/128,892,231,874.60
  6. Step 6: Final answer
    x = 193,338,347,811.90

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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.