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Finding the Fourth Proportional to 873,489,713,634.75, 1,310,234,570,452.20 and 873,489,713,634.75

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Solution

The fourth proportional to 873,489,713,634.75, 1,310,234,570,452.20 and 873,489,713,634.75 is: 1,310,234,570,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,489,713,634.75 : 1,310,234,570,452.20 = 873,489,713,634.75 : x
  2. Step 2: Convert to fraction form
    873,489,713,634.75/1,310,234,570,452.20 = 873,489,713,634.75/x
  3. Step 3: Cross multiply
    873,489,713,634.75x = 1,310,234,570,452.20 × 873,489,713,634.75
  4. Step 4: Simplify right side
    873,489,713,634.75x = 1,144,476,419,738,641,868,259,328
  5. Step 5: Solve for x
    x = 1,144,476,419,738,641,868,259,328/873,489,713,634.75
  6. Step 6: Final answer
    x = 1,310,234,570,452.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.