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Finding the Fourth Proportional to 68,275,597.90, 102,413,396.85 and 68,275,597.90

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Solution

The fourth proportional to 68,275,597.90, 102,413,396.85 and 68,275,597.90 is: 102,413,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,275,597.90 : 102,413,396.85 = 68,275,597.90 : x
  2. Step 2: Convert to fraction form
    68,275,597.90/102,413,396.85 = 68,275,597.90/x
  3. Step 3: Cross multiply
    68,275,597.90x = 102,413,396.85 × 68,275,597.90
  4. Step 4: Simplify right side
    68,275,597.90x = 6,992,335,902,903,727
  5. Step 5: Solve for x
    x = 6,992,335,902,903,727/68,275,597.90
  6. Step 6: Final answer
    x = 102,413,396.85

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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.