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Finding the Fourth Proportional to 25,561,737,007.80, 38,342,605,511.70 and 25,561,737,007.80

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Solution

The fourth proportional to 25,561,737,007.80, 38,342,605,511.70 and 25,561,737,007.80 is: 38,342,605,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,561,737,007.80 : 38,342,605,511.70 = 25,561,737,007.80 : x
  2. Step 2: Convert to fraction form
    25,561,737,007.80/38,342,605,511.70 = 25,561,737,007.80/x
  3. Step 3: Cross multiply
    25,561,737,007.80x = 38,342,605,511.70 × 25,561,737,007.80
  4. Step 4: Simplify right side
    25,561,737,007.80x = 980,103,598,283,898,093,568
  5. Step 5: Solve for x
    x = 980,103,598,283,898,093,568/25,561,737,007.80
  6. Step 6: Final answer
    x = 38,342,605,511.70

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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.