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Finding the Fourth Proportional to 304,741,014.44, 420,545,634.90 and 165,514,494.92

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Solution

The fourth proportional to 304,741,014.44, 420,545,634.90 and 165,514,494.92 is: 228,411,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,741,014.44 : 420,545,634.90 = 165,514,494.92 : x
  2. Step 2: Convert to fraction form
    304,741,014.44/420,545,634.90 = 165,514,494.92/x
  3. Step 3: Cross multiply
    304,741,014.44x = 420,545,634.90 × 165,514,494.92
  4. Step 4: Simplify right side
    304,741,014.44x = 69,606,398,351,284,216
  5. Step 5: Solve for x
    x = 69,606,398,351,284,216/304,741,014.44
  6. Step 6: Final answer
    x = 228,411,651.38

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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.