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Finding the Fourth Proportional to 200,530,404,414.52, 300,795,606,621.78 and 200,530,404,414.52

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Solution

The fourth proportional to 200,530,404,414.52, 300,795,606,621.78 and 200,530,404,414.52 is: 300,795,606,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530,404,414.52 : 300,795,606,621.78 = 200,530,404,414.52 : x
  2. Step 2: Convert to fraction form
    200,530,404,414.52/300,795,606,621.78 = 200,530,404,414.52/x
  3. Step 3: Cross multiply
    200,530,404,414.52x = 300,795,606,621.78 × 200,530,404,414.52
  4. Step 4: Simplify right side
    200,530,404,414.52x = 60,318,664,641,976,419,221,504
  5. Step 5: Solve for x
    x = 60,318,664,641,976,419,221,504/200,530,404,414.52
  6. Step 6: Final answer
    x = 300,795,606,621.78

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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.