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Finding the Fourth Proportional to 868,853,610.90, 1,303,280,416.35 and 868,853,610.90

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Solution

The fourth proportional to 868,853,610.90, 1,303,280,416.35 and 868,853,610.90 is: 1,303,280,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,853,610.90 : 1,303,280,416.35 = 868,853,610.90 : x
  2. Step 2: Convert to fraction form
    868,853,610.90/1,303,280,416.35 = 868,853,610.90/x
  3. Step 3: Cross multiply
    868,853,610.90x = 1,303,280,416.35 × 868,853,610.90
  4. Step 4: Simplify right side
    868,853,610.90x = 1,132,359,895,760,952,832
  5. Step 5: Solve for x
    x = 1,132,359,895,760,952,832/868,853,610.90
  6. Step 6: Final answer
    x = 1,303,280,416.35

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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.