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Finding the Fourth Proportional to 45,909,505,272.80, 68,755,418,792.40 and 45,909,505,272.80

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Solution

The fourth proportional to 45,909,505,272.80, 68,755,418,792.40 and 45,909,505,272.80 is: 68,755,418,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,909,505,272.80 : 68,755,418,792.40 = 45,909,505,272.80 : x
  2. Step 2: Convert to fraction form
    45,909,505,272.80/68,755,418,792.40 = 45,909,505,272.80/x
  3. Step 3: Cross multiply
    45,909,505,272.80x = 68,755,418,792.40 × 45,909,505,272.80
  4. Step 4: Simplify right side
    45,909,505,272.80x = 3,156,527,261,583,259,729,920
  5. Step 5: Solve for x
    x = 3,156,527,261,583,259,729,920/45,909,505,272.80
  6. Step 6: Final answer
    x = 68,755,418,792.40

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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.