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Finding the Fourth Proportional to 511,181,227.20, 766,771,840.80 and 511,181,227.20

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Solution

The fourth proportional to 511,181,227.20, 766,771,840.80 and 511,181,227.20 is: 766,771,840.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,181,227.20 : 766,771,840.80 = 511,181,227.20 : x
  2. Step 2: Convert to fraction form
    511,181,227.20/766,771,840.80 = 511,181,227.20/x
  3. Step 3: Cross multiply
    511,181,227.20x = 766,771,840.80 × 511,181,227.20
  4. Step 4: Simplify right side
    511,181,227.20x = 391,959,370,562,547,008
  5. Step 5: Solve for x
    x = 391,959,370,562,547,008/511,181,227.20
  6. Step 6: Final answer
    x = 766,771,840.80

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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.