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Finding the Fourth Proportional to 100,407,904,375.60, 150,611,856,563.40 and 100,407,904,375.60

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Solution

The fourth proportional to 100,407,904,375.60, 150,611,856,563.40 and 100,407,904,375.60 is: 150,611,856,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,407,904,375.60 : 150,611,856,563.40 = 100,407,904,375.60 : x
  2. Step 2: Convert to fraction form
    100,407,904,375.60/150,611,856,563.40 = 100,407,904,375.60/x
  3. Step 3: Cross multiply
    100,407,904,375.60x = 150,611,856,563.40 × 100,407,904,375.60
  4. Step 4: Simplify right side
    100,407,904,375.60x = 15,122,620,891,649,449,918,464
  5. Step 5: Solve for x
    x = 15,122,620,891,649,449,918,464/100,407,904,375.60
  6. Step 6: Final answer
    x = 150,611,856,563.40

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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.