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Finding the Fourth Proportional to 497,177,998.20, 745,766,997.30 and 420,650,494.20

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Solution

The fourth proportional to 497,177,998.20, 745,766,997.30 and 420,650,494.20 is: 630,975,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,177,998.20 : 745,766,997.30 = 420,650,494.20 : x
  2. Step 2: Convert to fraction form
    497,177,998.20/745,766,997.30 = 420,650,494.20/x
  3. Step 3: Cross multiply
    497,177,998.20x = 745,766,997.30 × 420,650,494.20
  4. Step 4: Simplify right side
    497,177,998.20x = 313,707,255,972,295,040
  5. Step 5: Solve for x
    x = 313,707,255,972,295,040/497,177,998.20
  6. Step 6: Final answer
    x = 630,975,741.30

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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.