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Finding the Fourth Proportional to 499,100,512.10, 748,650,768.15 and 499,100,512.10

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Solution

The fourth proportional to 499,100,512.10, 748,650,768.15 and 499,100,512.10 is: 748,650,768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,100,512.10 : 748,650,768.15 = 499,100,512.10 : x
  2. Step 2: Convert to fraction form
    499,100,512.10/748,650,768.15 = 499,100,512.10/x
  3. Step 3: Cross multiply
    499,100,512.10x = 748,650,768.15 × 499,100,512.10
  4. Step 4: Simplify right side
    499,100,512.10x = 373,651,981,767,723,392
  5. Step 5: Solve for x
    x = 373,651,981,767,723,392/499,100,512.10
  6. Step 6: Final answer
    x = 748,650,768.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.