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Finding the Fourth Proportional to 204,302,993,294.40, 306,454,489,941.60 and 204,302,993,294.40

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Solution

The fourth proportional to 204,302,993,294.40, 306,454,489,941.60 and 204,302,993,294.40 is: 306,454,489,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,302,993,294.40 : 306,454,489,941.60 = 204,302,993,294.40 : x
  2. Step 2: Convert to fraction form
    204,302,993,294.40/306,454,489,941.60 = 204,302,993,294.40/x
  3. Step 3: Cross multiply
    204,302,993,294.40x = 306,454,489,941.60 × 204,302,993,294.40
  4. Step 4: Simplify right side
    204,302,993,294.40x = 62,609,569,603,577,469,468,672
  5. Step 5: Solve for x
    x = 62,609,569,603,577,469,468,672/204,302,993,294.40
  6. Step 6: Final answer
    x = 306,454,489,941.60

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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.