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Finding the Fourth Proportional to 360,499,514.94, 497,510,180.49 and 201,728,252.09

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Solution

The fourth proportional to 360,499,514.94, 497,510,180.49 and 201,728,252.09 is: 278,396,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,499,514.94 : 497,510,180.49 = 201,728,252.09 : x
  2. Step 2: Convert to fraction form
    360,499,514.94/497,510,180.49 = 201,728,252.09/x
  3. Step 3: Cross multiply
    360,499,514.94x = 497,510,180.49 × 201,728,252.09
  4. Step 4: Simplify right side
    360,499,514.94x = 100,361,859,104,740,576
  5. Step 5: Solve for x
    x = 100,361,859,104,740,576/360,499,514.94
  6. Step 6: Final answer
    x = 278,396,655.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.