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Finding the Fourth Proportional to 271,867,337.80, 407,801,006.70 and 195,906,704.20

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Solution

The fourth proportional to 271,867,337.80, 407,801,006.70 and 195,906,704.20 is: 293,860,056.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,867,337.80 : 407,801,006.70 = 195,906,704.20 : x
  2. Step 2: Convert to fraction form
    271,867,337.80/407,801,006.70 = 195,906,704.20/x
  3. Step 3: Cross multiply
    271,867,337.80x = 407,801,006.70 × 195,906,704.20
  4. Step 4: Simplify right side
    271,867,337.80x = 79,890,951,192,039,104
  5. Step 5: Solve for x
    x = 79,890,951,192,039,104/271,867,337.80
  6. Step 6: Final answer
    x = 293,860,056.30

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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.