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Finding the Fourth Proportional to 497,016,010.20, 745,524,015.30 and 420,488,506.20

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Solution

The fourth proportional to 497,016,010.20, 745,524,015.30 and 420,488,506.20 is: 630,732,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,016,010.20 : 745,524,015.30 = 420,488,506.20 : x
  2. Step 2: Convert to fraction form
    497,016,010.20/745,524,015.30 = 420,488,506.20/x
  3. Step 3: Cross multiply
    497,016,010.20x = 745,524,015.30 × 420,488,506.20
  4. Step 4: Simplify right side
    497,016,010.20x = 313,484,279,529,722,944
  5. Step 5: Solve for x
    x = 313,484,279,529,722,944/497,016,010.20
  6. Step 6: Final answer
    x = 630,732,759.30

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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.