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Finding the Fourth Proportional to 512,521,306.66, 768,913,005.03 and 149,015,662.66

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Solution

The fourth proportional to 512,521,306.66, 768,913,005.03 and 149,015,662.66 is: 223,561,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,521,306.66 : 768,913,005.03 = 149,015,662.66 : x
  2. Step 2: Convert to fraction form
    512,521,306.66/768,913,005.03 = 149,015,662.66/x
  3. Step 3: Cross multiply
    512,521,306.66x = 768,913,005.03 × 149,015,662.66
  4. Step 4: Simplify right side
    512,521,306.66x = 114,580,080,972,437,360
  5. Step 5: Solve for x
    x = 114,580,080,972,437,360/512,521,306.66
  6. Step 6: Final answer
    x = 223,561,595.36

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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.