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Finding the Fourth Proportional to 409,566,697.40, 614,350,046.10 and 271,817,190.20

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Solution

The fourth proportional to 409,566,697.40, 614,350,046.10 and 271,817,190.20 is: 407,725,785.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,566,697.40 : 614,350,046.10 = 271,817,190.20 : x
  2. Step 2: Convert to fraction form
    409,566,697.40/614,350,046.10 = 271,817,190.20/x
  3. Step 3: Cross multiply
    409,566,697.40x = 614,350,046.10 × 271,817,190.20
  4. Step 4: Simplify right side
    409,566,697.40x = 166,990,903,330,142,464
  5. Step 5: Solve for x
    x = 166,990,903,330,142,464/409,566,697.40
  6. Step 6: Final answer
    x = 407,725,785.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.