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Finding the Fourth Proportional to 257,096,509.80, 385,644,764.70 and 220,108,216.20

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Solution

The fourth proportional to 257,096,509.80, 385,644,764.70 and 220,108,216.20 is: 330,162,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,096,509.80 : 385,644,764.70 = 220,108,216.20 : x
  2. Step 2: Convert to fraction form
    257,096,509.80/385,644,764.70 = 220,108,216.20/x
  3. Step 3: Cross multiply
    257,096,509.80x = 385,644,764.70 × 220,108,216.20
  4. Step 4: Simplify right side
    257,096,509.80x = 84,883,581,244,985,728
  5. Step 5: Solve for x
    x = 84,883,581,244,985,728/257,096,509.80
  6. Step 6: Final answer
    x = 330,162,324.30

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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.