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Finding the Fourth Proportional to 299,242,026.92, 412,726,748.31 and 257,496,049.68

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Solution

The fourth proportional to 299,242,026.92, 412,726,748.31 and 257,496,049.68 is: 355,149,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,242,026.92 : 412,726,748.31 = 257,496,049.68 : x
  2. Step 2: Convert to fraction form
    299,242,026.92/412,726,748.31 = 257,496,049.68/x
  3. Step 3: Cross multiply
    299,242,026.92x = 412,726,748.31 × 257,496,049.68
  4. Step 4: Simplify right side
    299,242,026.92x = 106,275,507,287,096,624
  5. Step 5: Solve for x
    x = 106,275,507,287,096,624/299,242,026.92
  6. Step 6: Final answer
    x = 355,149,002.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.