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Finding the Fourth Proportional to 416,887,737.54, 625,336,928.04 and 110,177,200.50

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Solution

The fourth proportional to 416,887,737.54, 625,336,928.04 and 110,177,200.50 is: 165,267,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,887,737.54 : 625,336,928.04 = 110,177,200.50 : x
  2. Step 2: Convert to fraction form
    416,887,737.54/625,336,928.04 = 110,177,200.50/x
  3. Step 3: Cross multiply
    416,887,737.54x = 625,336,928.04 × 110,177,200.50
  4. Step 4: Simplify right side
    416,887,737.54x = 68,897,872,100,717,144
  5. Step 5: Solve for x
    x = 68,897,872,100,717,144/416,887,737.54
  6. Step 6: Final answer
    x = 165,267,207.20

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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.