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Finding the Fourth Proportional to 36,324,030,170.40, 54,486,045,255.60 and 36,324,030,170.40

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Solution

The fourth proportional to 36,324,030,170.40, 54,486,045,255.60 and 36,324,030,170.40 is: 54,486,045,255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,324,030,170.40 : 54,486,045,255.60 = 36,324,030,170.40 : x
  2. Step 2: Convert to fraction form
    36,324,030,170.40/54,486,045,255.60 = 36,324,030,170.40/x
  3. Step 3: Cross multiply
    36,324,030,170.40x = 54,486,045,255.60 × 36,324,030,170.40
  4. Step 4: Simplify right side
    36,324,030,170.40x = 1,979,152,751,730,194,120,704
  5. Step 5: Solve for x
    x = 1,979,152,751,730,194,120,704/36,324,030,170.40
  6. Step 6: Final answer
    x = 54,486,045,255.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.