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Finding the Fourth Proportional to 72,797,462,123.20, 109,196,193,184.80 and 72,797,462,123.20

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Solution

The fourth proportional to 72,797,462,123.20, 109,196,193,184.80 and 72,797,462,123.20 is: 109,196,193,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,797,462,123.20 : 109,196,193,184.80 = 72,797,462,123.20 : x
  2. Step 2: Convert to fraction form
    72,797,462,123.20/109,196,193,184.80 = 72,797,462,123.20/x
  3. Step 3: Cross multiply
    72,797,462,123.20x = 109,196,193,184.80 × 72,797,462,123.20
  4. Step 4: Simplify right side
    72,797,462,123.20x = 7,949,205,737,368,108,138,496
  5. Step 5: Solve for x
    x = 7,949,205,737,368,108,138,496/72,797,462,123.20
  6. Step 6: Final answer
    x = 109,196,193,184.80

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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.