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Finding the Fourth Proportional to 264,384,033.30, 396,576,049.95 and 264,384,033.30

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Solution

The fourth proportional to 264,384,033.30, 396,576,049.95 and 264,384,033.30 is: 396,576,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,384,033.30 : 396,576,049.95 = 264,384,033.30 : x
  2. Step 2: Convert to fraction form
    264,384,033.30/396,576,049.95 = 264,384,033.30/x
  3. Step 3: Cross multiply
    264,384,033.30x = 396,576,049.95 × 264,384,033.30
  4. Step 4: Simplify right side
    264,384,033.30x = 104,848,375,595,963,264
  5. Step 5: Solve for x
    x = 104,848,375,595,963,264/264,384,033.30
  6. Step 6: Final answer
    x = 396,576,049.95

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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.