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Finding the Fourth Proportional to 560,165,415.80, 840,236,385.24 and 186,700,337.80

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Solution

The fourth proportional to 560,165,415.80, 840,236,385.24 and 186,700,337.80 is: 280,046,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,165,415.80 : 840,236,385.24 = 186,700,337.80 : x
  2. Step 2: Convert to fraction form
    560,165,415.80/840,236,385.24 = 186,700,337.80/x
  3. Step 3: Cross multiply
    560,165,415.80x = 840,236,385.24 × 186,700,337.80
  4. Step 4: Simplify right side
    560,165,415.80x = 156,872,416,956,158,944
  5. Step 5: Solve for x
    x = 156,872,416,956,158,944/560,165,415.80
  6. Step 6: Final answer
    x = 280,046,594.33

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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.