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Finding the Fourth Proportional to 20,432,847,640.60, 30,591,158,387.55 and 20,432,847,640.60

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Solution

The fourth proportional to 20,432,847,640.60, 30,591,158,387.55 and 20,432,847,640.60 is: 30,591,158,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432,847,640.60 : 30,591,158,387.55 = 20,432,847,640.60 : x
  2. Step 2: Convert to fraction form
    20,432,847,640.60/30,591,158,387.55 = 20,432,847,640.60/x
  3. Step 3: Cross multiply
    20,432,847,640.60x = 30,591,158,387.55 × 20,432,847,640.60
  4. Step 4: Simplify right side
    20,432,847,640.60x = 625,064,478,482,271,830,016
  5. Step 5: Solve for x
    x = 625,064,478,482,271,830,016/20,432,847,640.60
  6. Step 6: Final answer
    x = 30,591,158,387.55

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1.5x scale

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.