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Finding the Fourth Proportional to 863,006,676.50, 1,191,273,083.12 and 565,668,080.27

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Solution

The fourth proportional to 863,006,676.50, 1,191,273,083.12 and 565,668,080.27 is: 780,834,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,006,676.50 : 1,191,273,083.12 = 565,668,080.27 : x
  2. Step 2: Convert to fraction form
    863,006,676.50/1,191,273,083.12 = 565,668,080.27/x
  3. Step 3: Cross multiply
    863,006,676.50x = 1,191,273,083.12 × 565,668,080.27
  4. Step 4: Simplify right side
    863,006,676.50x = 673,865,157,997,029,888
  5. Step 5: Solve for x
    x = 673,865,157,997,029,888/863,006,676.50
  6. Step 6: Final answer
    x = 780,834,234.95

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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.