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Finding the Fourth Proportional to 314,604,413.90, 471,906,620.85 and 200,096,593.10

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Solution

The fourth proportional to 314,604,413.90, 471,906,620.85 and 200,096,593.10 is: 300,144,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,604,413.90 : 471,906,620.85 = 200,096,593.10 : x
  2. Step 2: Convert to fraction form
    314,604,413.90/471,906,620.85 = 200,096,593.10/x
  3. Step 3: Cross multiply
    314,604,413.90x = 471,906,620.85 × 200,096,593.10
  4. Step 4: Simplify right side
    314,604,413.90x = 94,426,907,093,418,432
  5. Step 5: Solve for x
    x = 94,426,907,093,418,432/314,604,413.90
  6. Step 6: Final answer
    x = 300,144,889.65

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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.