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Finding the Fourth Proportional to 442,866,045.15, 664,299,067.73 and 442,866,045.15

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Solution

The fourth proportional to 442,866,045.15, 664,299,067.73 and 442,866,045.15 is: 664,299,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,866,045.15 : 664,299,067.73 = 442,866,045.15 : x
  2. Step 2: Convert to fraction form
    442,866,045.15/664,299,067.73 = 442,866,045.15/x
  3. Step 3: Cross multiply
    442,866,045.15x = 664,299,067.73 × 442,866,045.15
  4. Step 4: Simplify right side
    442,866,045.15x = 294,195,500,920,202,752
  5. Step 5: Solve for x
    x = 294,195,500,920,202,752/442,866,045.15
  6. Step 6: Final answer
    x = 664,299,067.73

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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.