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Finding the Fourth Proportional to 68,951,844,007.65, 103,427,766,011.47 and 68,951,844,007.65

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Solution

The fourth proportional to 68,951,844,007.65, 103,427,766,011.47 and 68,951,844,007.65 is: 103,427,766,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,951,844,007.65 : 103,427,766,011.47 = 68,951,844,007.65 : x
  2. Step 2: Convert to fraction form
    68,951,844,007.65/103,427,766,011.47 = 68,951,844,007.65/x
  3. Step 3: Cross multiply
    68,951,844,007.65x = 103,427,766,011.47 × 68,951,844,007.65
  4. Step 4: Simplify right side
    68,951,844,007.65x = 7,131,535,188,082,603,065,344
  5. Step 5: Solve for x
    x = 7,131,535,188,082,603,065,344/68,951,844,007.65
  6. Step 6: Final answer
    x = 103,427,766,011.47

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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.