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Finding the Fourth Proportional to 274,489,726,735.30, 411,734,590,102.95 and 274,489,726,735.30

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Solution

The fourth proportional to 274,489,726,735.30, 411,734,590,102.95 and 274,489,726,735.30 is: 411,734,590,102.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,489,726,735.30 : 411,734,590,102.95 = 274,489,726,735.30 : x
  2. Step 2: Convert to fraction form
    274,489,726,735.30/411,734,590,102.95 = 274,489,726,735.30/x
  3. Step 3: Cross multiply
    274,489,726,735.30x = 411,734,590,102.95 × 274,489,726,735.30
  4. Step 4: Simplify right side
    274,489,726,735.30x = 113,016,915,124,829,493,919,744
  5. Step 5: Solve for x
    x = 113,016,915,124,829,493,919,744/274,489,726,735.30
  6. Step 6: Final answer
    x = 411,734,590,102.95

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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.