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Finding the Fourth Proportional to 198,093,046.40, 297,139,569.60 and 198,093,046.40

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Solution

The fourth proportional to 198,093,046.40, 297,139,569.60 and 198,093,046.40 is: 297,139,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,093,046.40 : 297,139,569.60 = 198,093,046.40 : x
  2. Step 2: Convert to fraction form
    198,093,046.40/297,139,569.60 = 198,093,046.40/x
  3. Step 3: Cross multiply
    198,093,046.40x = 297,139,569.60 × 198,093,046.40
  4. Step 4: Simplify right side
    198,093,046.40x = 58,861,282,548,048,832
  5. Step 5: Solve for x
    x = 58,861,282,548,048,832/198,093,046.40
  6. Step 6: Final answer
    x = 297,139,569.60

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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.