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Finding the Fourth Proportional to 100,406,419.40, 150,630,624.30 and 32,256,000.20

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Solution

The fourth proportional to 100,406,419.40, 150,630,624.30 and 32,256,000.20 is: 48,390,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406,419.40 : 150,630,624.30 = 32,256,000.20 : x
  2. Step 2: Convert to fraction form
    100,406,419.40/150,630,624.30 = 32,256,000.20/x
  3. Step 3: Cross multiply
    100,406,419.40x = 150,630,624.30 × 32,256,000.20
  4. Step 4: Simplify right side
    100,406,419.40x = 4,858,741,447,546,925
  5. Step 5: Solve for x
    x = 4,858,741,447,546,925/100,406,419.40
  6. Step 6: Final answer
    x = 48,390,745.10

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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.