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Finding the Fourth Proportional to 863,006,692.32, 1,191,273,104.88 and 565,668,096

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Solution

The fourth proportional to 863,006,692.32, 1,191,273,104.88 and 565,668,096 is: 780,834,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,006,692.32 : 1,191,273,104.88 = 565,668,096 : x
  2. Step 2: Convert to fraction form
    863,006,692.32/1,191,273,104.88 = 565,668,096/x
  3. Step 3: Cross multiply
    863,006,692.32x = 1,191,273,104.88 × 565,668,096
  4. Step 4: Simplify right side
    863,006,692.32x = 673,865,189,053,478,016
  5. Step 5: Solve for x
    x = 673,865,189,053,478,016/863,006,692.32
  6. Step 6: Final answer
    x = 780,834,256.62

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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.