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Finding the Fourth Proportional to 600,235,296.75, 828,324,709.52 and 325,524,768.75

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Solution

The fourth proportional to 600,235,296.75, 828,324,709.52 and 325,524,768.75 is: 449,224,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,235,296.75 : 828,324,709.52 = 325,524,768.75 : x
  2. Step 2: Convert to fraction form
    600,235,296.75/828,324,709.52 = 325,524,768.75/x
  3. Step 3: Cross multiply
    600,235,296.75x = 828,324,709.52 × 325,524,768.75
  4. Step 4: Simplify right side
    600,235,296.75x = 269,640,209,514,781,280
  5. Step 5: Solve for x
    x = 269,640,209,514,781,280/600,235,296.75
  6. Step 6: Final answer
    x = 449,224,180.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.