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Finding the Fourth Proportional to 40,541,327,246.48, 60,811,990,869.71 and 40,541,327,246.48

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Solution

The fourth proportional to 40,541,327,246.48, 60,811,990,869.71 and 40,541,327,246.48 is: 60,811,990,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,541,327,246.48 : 60,811,990,869.71 = 40,541,327,246.48 : x
  2. Step 2: Convert to fraction form
    40,541,327,246.48/60,811,990,869.71 = 40,541,327,246.48/x
  3. Step 3: Cross multiply
    40,541,327,246.48x = 60,811,990,869.71 × 40,541,327,246.48
  4. Step 4: Simplify right side
    40,541,327,246.48x = 2,465,398,822,358,643,900,416
  5. Step 5: Solve for x
    x = 2,465,398,822,358,643,900,416/40,541,327,246.48
  6. Step 6: Final answer
    x = 60,811,990,869.71

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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.