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Finding the Fourth Proportional to 316,728,197.60, 444,024,138.40 and 316,728,197.60

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Solution

The fourth proportional to 316,728,197.60, 444,024,138.40 and 316,728,197.60 is: 444,024,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,728,197.60 : 444,024,138.40 = 316,728,197.60 : x
  2. Step 2: Convert to fraction form
    316,728,197.60/444,024,138.40 = 316,728,197.60/x
  3. Step 3: Cross multiply
    316,728,197.60x = 444,024,138.40 × 316,728,197.60
  4. Step 4: Simplify right side
    316,728,197.60x = 140,634,965,046,324,944
  5. Step 5: Solve for x
    x = 140,634,965,046,324,944/316,728,197.60
  6. Step 6: Final answer
    x = 444,024,138.40

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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.