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Finding the Fourth Proportional to 814,244,806.40, 1,221,367,209.60 and 814,244,806.40

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Solution

The fourth proportional to 814,244,806.40, 1,221,367,209.60 and 814,244,806.40 is: 1,221,367,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,244,806.40 : 1,221,367,209.60 = 814,244,806.40 : x
  2. Step 2: Convert to fraction form
    814,244,806.40/1,221,367,209.60 = 814,244,806.40/x
  3. Step 3: Cross multiply
    814,244,806.40x = 1,221,367,209.60 × 814,244,806.40
  4. Step 4: Simplify right side
    814,244,806.40x = 994,491,907,124,060,160
  5. Step 5: Solve for x
    x = 994,491,907,124,060,160/814,244,806.40
  6. Step 6: Final answer
    x = 1,221,367,209.60

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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.