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Finding the Fourth Proportional to 367,040,769,609.15, 550,561,154,413.70 and 367,040,769,609.15

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Solution

The fourth proportional to 367,040,769,609.15, 550,561,154,413.70 and 367,040,769,609.15 is: 550,561,154,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,040,769,609.15 : 550,561,154,413.70 = 367,040,769,609.15 : x
  2. Step 2: Convert to fraction form
    367,040,769,609.15/550,561,154,413.70 = 367,040,769,609.15/x
  3. Step 3: Cross multiply
    367,040,769,609.15x = 550,561,154,413.70 × 367,040,769,609.15
  4. Step 4: Simplify right side
    367,040,769,609.15x = 202,078,389,832,906,526,687,232
  5. Step 5: Solve for x
    x = 202,078,389,832,906,526,687,232/367,040,769,609.15
  6. Step 6: Final answer
    x = 550,561,154,413.70

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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.