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Finding the Fourth Proportional to 408,608,691,772.05, 612,913,037,658.05 and 408,608,691,772.05

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Solution

The fourth proportional to 408,608,691,772.05, 612,913,037,658.05 and 408,608,691,772.05 is: 612,913,037,658.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,608,691,772.05 : 612,913,037,658.05 = 408,608,691,772.05 : x
  2. Step 2: Convert to fraction form
    408,608,691,772.05/612,913,037,658.05 = 408,608,691,772.05/x
  3. Step 3: Cross multiply
    408,608,691,772.05x = 612,913,037,658.05 × 408,608,691,772.05
  4. Step 4: Simplify right side
    408,608,691,772.05x = 250,441,594,487,489,054,113,792
  5. Step 5: Solve for x
    x = 250,441,594,487,489,054,113,792/408,608,691,772.05
  6. Step 6: Final answer
    x = 612,913,037,658.05

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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.