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Finding the Fourth Proportional to 863,006,677.50, 1,191,273,084.50 and 565,668,081.27

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Solution

The fourth proportional to 863,006,677.50, 1,191,273,084.50 and 565,668,081.27 is: 780,834,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,006,677.50 : 1,191,273,084.50 = 565,668,081.27 : x
  2. Step 2: Convert to fraction form
    863,006,677.50/1,191,273,084.50 = 565,668,081.27/x
  3. Step 3: Cross multiply
    863,006,677.50x = 1,191,273,084.50 × 565,668,081.27
  4. Step 4: Simplify right side
    863,006,677.50x = 673,865,159,977,709,568
  5. Step 5: Solve for x
    x = 673,865,159,977,709,568/863,006,677.50
  6. Step 6: Final answer
    x = 780,834,236.33

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