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Finding the Fourth Proportional to 600,235,285.50, 828,324,693.99 and 325,524,757.50

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Solution

The fourth proportional to 600,235,285.50, 828,324,693.99 and 325,524,757.50 is: 449,224,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,235,285.50 : 828,324,693.99 = 325,524,757.50 : x
  2. Step 2: Convert to fraction form
    600,235,285.50/828,324,693.99 = 325,524,757.50/x
  3. Step 3: Cross multiply
    600,235,285.50x = 828,324,693.99 × 325,524,757.50
  4. Step 4: Simplify right side
    600,235,285.50x = 269,640,195,142,356,448
  5. Step 5: Solve for x
    x = 269,640,195,142,356,448/600,235,285.50
  6. Step 6: Final answer
    x = 449,224,165.35

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Why These Related Problems?

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