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Finding the Fourth Proportional to 299,992,382.99, 414,005,569.64 and 167,825,497.04

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Solution

The fourth proportional to 299,992,382.99, 414,005,569.64 and 167,825,497.04 is: 231,608,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,992,382.99 : 414,005,569.64 = 167,825,497.04 : x
  2. Step 2: Convert to fraction form
    299,992,382.99/414,005,569.64 = 167,825,497.04/x
  3. Step 3: Cross multiply
    299,992,382.99x = 414,005,569.64 × 167,825,497.04
  4. Step 4: Simplify right side
    299,992,382.99x = 69,480,690,499,252,176
  5. Step 5: Solve for x
    x = 69,480,690,499,252,176/299,992,382.99
  6. Step 6: Final answer
    x = 231,608,182.21

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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.