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Finding the Fourth Proportional to 73,127,323,540.80, 109,690,985,311.20 and 73,127,323,540.80

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Solution

The fourth proportional to 73,127,323,540.80, 109,690,985,311.20 and 73,127,323,540.80 is: 109,690,985,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,127,323,540.80 : 109,690,985,311.20 = 73,127,323,540.80 : x
  2. Step 2: Convert to fraction form
    73,127,323,540.80/109,690,985,311.20 = 73,127,323,540.80/x
  3. Step 3: Cross multiply
    73,127,323,540.80x = 109,690,985,311.20 × 73,127,323,540.80
  4. Step 4: Simplify right side
    73,127,323,540.80x = 8,021,408,172,361,263,349,760
  5. Step 5: Solve for x
    x = 8,021,408,172,361,263,349,760/73,127,323,540.80
  6. Step 6: Final answer
    x = 109,690,985,311.20

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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.