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Finding the Fourth Proportional to 381,608,701.20, 535,461,505.20 and 381,608,701.20

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Solution

The fourth proportional to 381,608,701.20, 535,461,505.20 and 381,608,701.20 is: 535,461,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,608,701.20 : 535,461,505.20 = 381,608,701.20 : x
  2. Step 2: Convert to fraction form
    381,608,701.20/535,461,505.20 = 381,608,701.20/x
  3. Step 3: Cross multiply
    381,608,701.20x = 535,461,505.20 × 381,608,701.20
  4. Step 4: Simplify right side
    381,608,701.20x = 204,336,769,541,969,024
  5. Step 5: Solve for x
    x = 204,336,769,541,969,024/381,608,701.20
  6. Step 6: Final answer
    x = 535,461,505.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.