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Finding the Fourth Proportional to 100,407,904,408.60, 150,611,856,612.90 and 100,407,904,408.60

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Solution

The fourth proportional to 100,407,904,408.60, 150,611,856,612.90 and 100,407,904,408.60 is: 150,611,856,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407,904,408.60 : 150,611,856,612.90 = 100,407,904,408.60 : x
  2. Step 2: Convert to fraction form
    100,407,904,408.60/150,611,856,612.90 = 100,407,904,408.60/x
  3. Step 3: Cross multiply
    100,407,904,408.60x = 150,611,856,612.90 × 100,407,904,408.60
  4. Step 4: Simplify right side
    100,407,904,408.60x = 15,122,620,901,589,832,957,952
  5. Step 5: Solve for x
    x = 15,122,620,901,589,832,957,952/100,407,904,408.60
  6. Step 6: Final answer
    x = 150,611,856,612.90

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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.