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Finding the Fourth Proportional to 200,468,053.90, 300,462,932.40 and 179,901,287.20

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Solution

The fourth proportional to 200,468,053.90, 300,462,932.40 and 179,901,287.20 is: 269,637,317.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,468,053.90 : 300,462,932.40 = 179,901,287.20 : x
  2. Step 2: Convert to fraction form
    200,468,053.90/300,462,932.40 = 179,901,287.20/x
  3. Step 3: Cross multiply
    200,468,053.90x = 300,462,932.40 × 179,901,287.20
  4. Step 4: Simplify right side
    200,468,053.90x = 54,053,668,294,646,576
  5. Step 5: Solve for x
    x = 54,053,668,294,646,576/200,468,053.90
  6. Step 6: Final answer
    x = 269,637,317.48

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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.