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Finding the Fourth Proportional to 551,415,643.30, 827,123,464.95 and 547,589,268.10

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Solution

The fourth proportional to 551,415,643.30, 827,123,464.95 and 547,589,268.10 is: 821,383,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,415,643.30 : 827,123,464.95 = 547,589,268.10 : x
  2. Step 2: Convert to fraction form
    551,415,643.30/827,123,464.95 = 547,589,268.10/x
  3. Step 3: Cross multiply
    551,415,643.30x = 827,123,464.95 × 547,589,268.10
  4. Step 4: Simplify right side
    551,415,643.30x = 452,923,932,800,306,560
  5. Step 5: Solve for x
    x = 452,923,932,800,306,560/551,415,643.30
  6. Step 6: Final answer
    x = 821,383,902.15

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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.