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Finding the Fourth Proportional to 327,560,250,413.09, 491,340,375,619.64 and 327,560,250,413.09

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Solution

The fourth proportional to 327,560,250,413.09, 491,340,375,619.64 and 327,560,250,413.09 is: 491,340,375,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,560,250,413.09 : 491,340,375,619.64 = 327,560,250,413.09 : x
  2. Step 2: Convert to fraction form
    327,560,250,413.09/491,340,375,619.64 = 327,560,250,413.09/x
  3. Step 3: Cross multiply
    327,560,250,413.09x = 491,340,375,619.64 × 327,560,250,413.09
  4. Step 4: Simplify right side
    327,560,250,413.09x = 160,943,576,476,030,989,238,272
  5. Step 5: Solve for x
    x = 160,943,576,476,030,989,238,272/327,560,250,413.09
  6. Step 6: Final answer
    x = 491,340,375,619.64

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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.