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Finding the Fourth Proportional to 200,530,404,414.14, 300,795,606,621.20 and 200,530,404,414.14

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Solution

The fourth proportional to 200,530,404,414.14, 300,795,606,621.20 and 200,530,404,414.14 is: 300,795,606,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530,404,414.14 : 300,795,606,621.20 = 200,530,404,414.14 : x
  2. Step 2: Convert to fraction form
    200,530,404,414.14/300,795,606,621.20 = 200,530,404,414.14/x
  3. Step 3: Cross multiply
    200,530,404,414.14x = 300,795,606,621.20 × 200,530,404,414.14
  4. Step 4: Simplify right side
    200,530,404,414.14x = 60,318,664,641,745,807,998,976
  5. Step 5: Solve for x
    x = 60,318,664,641,745,807,998,976/200,530,404,414.14
  6. Step 6: Final answer
    x = 300,795,606,621.20

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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.