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Finding the Fourth Proportional to 294,382,406.70, 406,250,407.87 and 162,228,144.87

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Solution

The fourth proportional to 294,382,406.70, 406,250,407.87 and 162,228,144.87 is: 223,876,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,382,406.70 : 406,250,407.87 = 162,228,144.87 : x
  2. Step 2: Convert to fraction form
    294,382,406.70/406,250,407.87 = 162,228,144.87/x
  3. Step 3: Cross multiply
    294,382,406.70x = 406,250,407.87 × 162,228,144.87
  4. Step 4: Simplify right side
    294,382,406.70x = 65,905,250,021,025,384
  5. Step 5: Solve for x
    x = 65,905,250,021,025,384/294,382,406.70
  6. Step 6: Final answer
    x = 223,876,320.46

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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.