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Finding the Fourth Proportional to 863,006,676, 1,191,273,082.42 and 565,668,079.76

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Solution

The fourth proportional to 863,006,676, 1,191,273,082.42 and 565,668,079.76 is: 780,834,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,006,676 : 1,191,273,082.42 = 565,668,079.76 : x
  2. Step 2: Convert to fraction form
    863,006,676/1,191,273,082.42 = 565,668,079.76/x
  3. Step 3: Cross multiply
    863,006,676x = 1,191,273,082.42 × 565,668,079.76
  4. Step 4: Simplify right side
    863,006,676x = 673,865,157,002,297,600
  5. Step 5: Solve for x
    x = 673,865,157,002,297,600/863,006,676
  6. Step 6: Final answer
    x = 780,834,234.24

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Why These Related Problems?

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