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Finding the Fourth Proportional to 499,100,727.60, 748,651,091.40 and 499,100,727.60

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Solution

The fourth proportional to 499,100,727.60, 748,651,091.40 and 499,100,727.60 is: 748,651,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,100,727.60 : 748,651,091.40 = 499,100,727.60 : x
  2. Step 2: Convert to fraction form
    499,100,727.60/748,651,091.40 = 499,100,727.60/x
  3. Step 3: Cross multiply
    499,100,727.60x = 748,651,091.40 × 499,100,727.60
  4. Step 4: Simplify right side
    499,100,727.60x = 373,652,304,436,274,112
  5. Step 5: Solve for x
    x = 373,652,304,436,274,112/499,100,727.60
  6. Step 6: Final answer
    x = 748,651,091.40

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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.