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Finding the Fourth Proportional to 397,098,015.20, 595,647,022.80 and 295,061,343.20

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Solution

The fourth proportional to 397,098,015.20, 595,647,022.80 and 295,061,343.20 is: 442,592,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,098,015.20 : 595,647,022.80 = 295,061,343.20 : x
  2. Step 2: Convert to fraction form
    397,098,015.20/595,647,022.80 = 295,061,343.20/x
  3. Step 3: Cross multiply
    397,098,015.20x = 595,647,022.80 × 295,061,343.20
  4. Step 4: Simplify right side
    397,098,015.20x = 175,752,410,620,448,992
  5. Step 5: Solve for x
    x = 175,752,410,620,448,992/397,098,015.20
  6. Step 6: Final answer
    x = 442,592,014.80

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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.