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Finding the Fourth Proportional to 266,743,424.30, 400,367,078.85 and 164,706,752.30

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Solution

The fourth proportional to 266,743,424.30, 400,367,078.85 and 164,706,752.30 is: 247,215,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,743,424.30 : 400,367,078.85 = 164,706,752.30 : x
  2. Step 2: Convert to fraction form
    266,743,424.30/400,367,078.85 = 164,706,752.30/x
  3. Step 3: Cross multiply
    266,743,424.30x = 400,367,078.85 × 164,706,752.30
  4. Step 4: Simplify right side
    266,743,424.30x = 65,943,161,285,221,528
  5. Step 5: Solve for x
    x = 65,943,161,285,221,528/266,743,424.30
  6. Step 6: Final answer
    x = 247,215,695.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.