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Finding the Fourth Proportional to 398,617,661.30, 597,926,491.95 and 398,617,661.30

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Solution

The fourth proportional to 398,617,661.30, 597,926,491.95 and 398,617,661.30 is: 597,926,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,617,661.30 : 597,926,491.95 = 398,617,661.30 : x
  2. Step 2: Convert to fraction form
    398,617,661.30/597,926,491.95 = 398,617,661.30/x
  3. Step 3: Cross multiply
    398,617,661.30x = 597,926,491.95 × 398,617,661.30
  4. Step 4: Simplify right side
    398,617,661.30x = 238,344,059,850,422,304
  5. Step 5: Solve for x
    x = 238,344,059,850,422,304/398,617,661.30
  6. Step 6: Final answer
    x = 597,926,491.95

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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.