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Finding the Fourth Proportional to 274,489,726,728.80, 411,734,590,093.20 and 274,489,726,728.80

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Solution

The fourth proportional to 274,489,726,728.80, 411,734,590,093.20 and 274,489,726,728.80 is: 411,734,590,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,489,726,728.80 : 411,734,590,093.20 = 274,489,726,728.80 : x
  2. Step 2: Convert to fraction form
    274,489,726,728.80/411,734,590,093.20 = 274,489,726,728.80/x
  3. Step 3: Cross multiply
    274,489,726,728.80x = 411,734,590,093.20 × 274,489,726,728.80
  4. Step 4: Simplify right side
    274,489,726,728.80x = 113,016,915,119,476,958,035,968
  5. Step 5: Solve for x
    x = 113,016,915,119,476,958,035,968/274,489,726,728.80
  6. Step 6: Final answer
    x = 411,734,590,093.20

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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.