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Finding the Fourth Proportional to 40,541,327,241.60, 60,811,990,862.40 and 40,541,327,241.60

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Solution

The fourth proportional to 40,541,327,241.60, 60,811,990,862.40 and 40,541,327,241.60 is: 60,811,990,862.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,541,327,241.60 : 60,811,990,862.40 = 40,541,327,241.60 : x
  2. Step 2: Convert to fraction form
    40,541,327,241.60/60,811,990,862.40 = 40,541,327,241.60/x
  3. Step 3: Cross multiply
    40,541,327,241.60x = 60,811,990,862.40 × 40,541,327,241.60
  4. Step 4: Simplify right side
    40,541,327,241.60x = 2,465,398,821,765,747,572,736
  5. Step 5: Solve for x
    x = 2,465,398,821,765,747,572,736/40,541,327,241.60
  6. Step 6: Final answer
    x = 60,811,990,862.40

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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.