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Finding the Fourth Proportional to 511,288,999.80, 766,933,499.70 and 511,288,999.80

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Solution

The fourth proportional to 511,288,999.80, 766,933,499.70 and 511,288,999.80 is: 766,933,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,288,999.80 : 766,933,499.70 = 511,288,999.80 : x
  2. Step 2: Convert to fraction form
    511,288,999.80/766,933,499.70 = 511,288,999.80/x
  3. Step 3: Cross multiply
    511,288,999.80x = 766,933,499.70 × 511,288,999.80
  4. Step 4: Simplify right side
    511,288,999.80x = 392,124,661,974,726,656
  5. Step 5: Solve for x
    x = 392,124,661,974,726,656/511,288,999.80
  6. Step 6: Final answer
    x = 766,933,499.70

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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.