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Finding the Fourth Proportional to 199,481,152.80, 298,969,786.80 and 97,024,576.80

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Solution

The fourth proportional to 199,481,152.80, 298,969,786.80 and 97,024,576.80 is: 145,414,324.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,481,152.80 : 298,969,786.80 = 97,024,576.80 : x
  2. Step 2: Convert to fraction form
    199,481,152.80/298,969,786.80 = 97,024,576.80/x
  3. Step 3: Cross multiply
    199,481,152.80x = 298,969,786.80 × 97,024,576.80
  4. Step 4: Simplify right side
    199,481,152.80x = 29,007,417,040,256,228
  5. Step 5: Solve for x
    x = 29,007,417,040,256,228/199,481,152.80
  6. Step 6: Final answer
    x = 145,414,324.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.