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Finding the Fourth Proportional to 204,493,251,147.40, 306,739,876,721.10 and 204,493,251,147.40

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Solution

The fourth proportional to 204,493,251,147.40, 306,739,876,721.10 and 204,493,251,147.40 is: 306,739,876,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,493,251,147.40 : 306,739,876,721.10 = 204,493,251,147.40 : x
  2. Step 2: Convert to fraction form
    204,493,251,147.40/306,739,876,721.10 = 204,493,251,147.40/x
  3. Step 3: Cross multiply
    204,493,251,147.40x = 306,739,876,721.10 × 204,493,251,147.40
  4. Step 4: Simplify right side
    204,493,251,147.40x = 62,726,234,647,250,409,095,168
  5. Step 5: Solve for x
    x = 62,726,234,647,250,409,095,168/204,493,251,147.40
  6. Step 6: Final answer
    x = 306,739,876,721.10

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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.