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Finding the Fourth Proportional to 78,239,121.60, 109,761,518.40 and 78,239,121.60

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Solution

The fourth proportional to 78,239,121.60, 109,761,518.40 and 78,239,121.60 is: 109,761,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,239,121.60 : 109,761,518.40 = 78,239,121.60 : x
  2. Step 2: Convert to fraction form
    78,239,121.60/109,761,518.40 = 78,239,121.60/x
  3. Step 3: Cross multiply
    78,239,121.60x = 109,761,518.40 × 78,239,121.60
  4. Step 4: Simplify right side
    78,239,121.60x = 8,587,644,785,098,237
  5. Step 5: Solve for x
    x = 8,587,644,785,098,237/78,239,121.60
  6. Step 6: Final answer
    x = 109,761,518.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.