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Finding the Fourth Proportional to 511,181,216.20, 766,771,824.30 and 511,181,216.20

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Solution

The fourth proportional to 511,181,216.20, 766,771,824.30 and 511,181,216.20 is: 766,771,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,181,216.20 : 766,771,824.30 = 511,181,216.20 : x
  2. Step 2: Convert to fraction form
    511,181,216.20/766,771,824.30 = 511,181,216.20/x
  3. Step 3: Cross multiply
    511,181,216.20x = 766,771,824.30 × 511,181,216.20
  4. Step 4: Simplify right side
    511,181,216.20x = 391,959,353,693,566,656
  5. Step 5: Solve for x
    x = 391,959,353,693,566,656/511,181,216.20
  6. Step 6: Final answer
    x = 766,771,824.30

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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.