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Finding the Fourth Proportional to 132,882,413.60, 199,181,902.80 and 50,969,640.80

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Solution

The fourth proportional to 132,882,413.60, 199,181,902.80 and 50,969,640.80 is: 76,400,102.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,882,413.60 : 199,181,902.80 = 50,969,640.80 : x
  2. Step 2: Convert to fraction form
    132,882,413.60/199,181,902.80 = 50,969,640.80/x
  3. Step 3: Cross multiply
    132,882,413.60x = 199,181,902.80 × 50,969,640.80
  4. Step 4: Simplify right side
    132,882,413.60x = 10,152,230,039,576,514
  5. Step 5: Solve for x
    x = 10,152,230,039,576,514/132,882,413.60
  6. Step 6: Final answer
    x = 76,400,102.65

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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.