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Finding the Fourth Proportional to 863,138,311.10, 1,294,707,466.66 and 863,138,311.10

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Solution

The fourth proportional to 863,138,311.10, 1,294,707,466.66 and 863,138,311.10 is: 1,294,707,466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,138,311.10 : 1,294,707,466.66 = 863,138,311.10 : x
  2. Step 2: Convert to fraction form
    863,138,311.10/1,294,707,466.66 = 863,138,311.10/x
  3. Step 3: Cross multiply
    863,138,311.10x = 1,294,707,466.66 × 863,138,311.10
  4. Step 4: Simplify right side
    863,138,311.10x = 1,117,511,616,141,472,000
  5. Step 5: Solve for x
    x = 1,117,511,616,141,472,000/863,138,311.10
  6. Step 6: Final answer
    x = 1,294,707,466.66

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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.