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Finding the Fourth Proportional to 82,609,843.60, 123,914,765.40 and 39,563,122.60

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Solution

The fourth proportional to 82,609,843.60, 123,914,765.40 and 39,563,122.60 is: 59,344,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,609,843.60 : 123,914,765.40 = 39,563,122.60 : x
  2. Step 2: Convert to fraction form
    82,609,843.60/123,914,765.40 = 39,563,122.60/x
  3. Step 3: Cross multiply
    82,609,843.60x = 123,914,765.40 × 39,563,122.60
  4. Step 4: Simplify right side
    82,609,843.60x = 4,902,455,055,470,438
  5. Step 5: Solve for x
    x = 4,902,455,055,470,438/82,609,843.60
  6. Step 6: Final answer
    x = 59,344,683.90

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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.