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Finding the Fourth Proportional to 78,025,602.80, 117,002,974.80 and 29,487,324.80

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Solution

The fourth proportional to 78,025,602.80, 117,002,974.80 and 29,487,324.80 is: 44,217,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,025,602.80 : 117,002,974.80 = 29,487,324.80 : x
  2. Step 2: Convert to fraction form
    78,025,602.80/117,002,974.80 = 29,487,324.80/x
  3. Step 3: Cross multiply
    78,025,602.80x = 117,002,974.80 × 29,487,324.80
  4. Step 4: Simplify right side
    78,025,602.80x = 3,450,104,720,493,815
  5. Step 5: Solve for x
    x = 3,450,104,720,493,815/78,025,602.80
  6. Step 6: Final answer
    x = 44,217,597.77

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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.