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Finding the Fourth Proportional to 412,693,165.68, 569,521,073.88 and 224,522,521.08

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Solution

The fourth proportional to 412,693,165.68, 569,521,073.88 and 224,522,521.08 is: 309,843,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,693,165.68 : 569,521,073.88 = 224,522,521.08 : x
  2. Step 2: Convert to fraction form
    412,693,165.68/569,521,073.88 = 224,522,521.08/x
  3. Step 3: Cross multiply
    412,693,165.68x = 569,521,073.88 × 224,522,521.08
  4. Step 4: Simplify right side
    412,693,165.68x = 127,870,307,315,726,544
  5. Step 5: Solve for x
    x = 127,870,307,315,726,544/412,693,165.68
  6. Step 6: Final answer
    x = 309,843,530.13

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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.