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Finding the Fourth Proportional to 226,822,101.30, 340,233,151.95 and 226,822,101.30

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Solution

The fourth proportional to 226,822,101.30, 340,233,151.95 and 226,822,101.30 is: 340,233,151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,822,101.30 : 340,233,151.95 = 226,822,101.30 : x
  2. Step 2: Convert to fraction form
    226,822,101.30/340,233,151.95 = 226,822,101.30/x
  3. Step 3: Cross multiply
    226,822,101.30x = 340,233,151.95 × 226,822,101.30
  4. Step 4: Simplify right side
    226,822,101.30x = 77,172,398,457,221,200
  5. Step 5: Solve for x
    x = 77,172,398,457,221,200/226,822,101.30
  6. Step 6: Final answer
    x = 340,233,151.95

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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.