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Finding the Fourth Proportional to 49,207,974.95, 73,811,962.43 and 49,207,974.95

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Solution

The fourth proportional to 49,207,974.95, 73,811,962.43 and 49,207,974.95 is: 73,811,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,207,974.95 : 73,811,962.43 = 49,207,974.95 : x
  2. Step 2: Convert to fraction form
    49,207,974.95/73,811,962.43 = 49,207,974.95/x
  3. Step 3: Cross multiply
    49,207,974.95x = 73,811,962.43 × 49,207,974.95
  4. Step 4: Simplify right side
    49,207,974.95x = 3,632,137,198,265,781.50
  5. Step 5: Solve for x
    x = 3,632,137,198,265,781.50/49,207,974.95
  6. Step 6: Final answer
    x = 73,811,962.43

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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.