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Finding the Fourth Proportional to 218,297,627,817.60, 327,446,441,726.40 and 218,297,627,817.60

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Solution

The fourth proportional to 218,297,627,817.60, 327,446,441,726.40 and 218,297,627,817.60 is: 327,446,441,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,297,627,817.60 : 327,446,441,726.40 = 218,297,627,817.60 : x
  2. Step 2: Convert to fraction form
    218,297,627,817.60/327,446,441,726.40 = 218,297,627,817.60/x
  3. Step 3: Cross multiply
    218,297,627,817.60x = 327,446,441,726.40 × 218,297,627,817.60
  4. Step 4: Simplify right side
    218,297,627,817.60x = 71,480,781,466,187,117,625,344
  5. Step 5: Solve for x
    x = 71,480,781,466,187,117,625,344/218,297,627,817.60
  6. Step 6: Final answer
    x = 327,446,441,726.40

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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.