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Finding the Fourth Proportional to 78,229,349.60, 117,338,775.60 and 20,720,386.40

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Solution

The fourth proportional to 78,229,349.60, 117,338,775.60 and 20,720,386.40 is: 31,079,189.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,229,349.60 : 117,338,775.60 = 20,720,386.40 : x
  2. Step 2: Convert to fraction form
    78,229,349.60/117,338,775.60 = 20,720,386.40/x
  3. Step 3: Cross multiply
    78,229,349.60x = 117,338,775.60 × 20,720,386.40
  4. Step 4: Simplify right side
    78,229,349.60x = 2,431,304,770,134,891.50
  5. Step 5: Solve for x
    x = 2,431,304,770,134,891.50/78,229,349.60
  6. Step 6: Final answer
    x = 31,079,189.37

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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.