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Finding the Fourth Proportional to 316,728,205.60, 444,024,149.60 and 316,728,205.60

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Solution

The fourth proportional to 316,728,205.60, 444,024,149.60 and 316,728,205.60 is: 444,024,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,728,205.60 : 444,024,149.60 = 316,728,205.60 : x
  2. Step 2: Convert to fraction form
    316,728,205.60/444,024,149.60 = 316,728,205.60/x
  3. Step 3: Cross multiply
    316,728,205.60x = 444,024,149.60 × 316,728,205.60
  4. Step 4: Simplify right side
    316,728,205.60x = 140,634,972,145,873,968
  5. Step 5: Solve for x
    x = 140,634,972,145,873,968/316,728,205.60
  6. Step 6: Final answer
    x = 444,024,149.60

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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.