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Finding the Fourth Proportional to 223,512,023,039.40, 335,268,034,559.10 and 223,512,023,039.40

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Solution

The fourth proportional to 223,512,023,039.40, 335,268,034,559.10 and 223,512,023,039.40 is: 335,268,034,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,512,023,039.40 : 335,268,034,559.10 = 223,512,023,039.40 : x
  2. Step 2: Convert to fraction form
    223,512,023,039.40/335,268,034,559.10 = 223,512,023,039.40/x
  3. Step 3: Cross multiply
    223,512,023,039.40x = 335,268,034,559.10 × 223,512,023,039.40
  4. Step 4: Simplify right side
    223,512,023,039.40x = 74,936,436,664,747,910,234,112
  5. Step 5: Solve for x
    x = 74,936,436,664,747,910,234,112/223,512,023,039.40
  6. Step 6: Final answer
    x = 335,268,034,559.10

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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.