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Finding the Fourth Proportional to 109,990,843.80, 164,986,265.70 and 49,524,667.80

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Solution

The fourth proportional to 109,990,843.80, 164,986,265.70 and 49,524,667.80 is: 74,287,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,990,843.80 : 164,986,265.70 = 49,524,667.80 : x
  2. Step 2: Convert to fraction form
    109,990,843.80/164,986,265.70 = 49,524,667.80/x
  3. Step 3: Cross multiply
    109,990,843.80x = 164,986,265.70 × 49,524,667.80
  4. Step 4: Simplify right side
    109,990,843.80x = 8,170,890,000,355,033
  5. Step 5: Solve for x
    x = 8,170,890,000,355,033/109,990,843.80
  6. Step 6: Final answer
    x = 74,287,001.70

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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.