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Finding the Fourth Proportional to 550,481,244.82, 824,632,241.92 and 481,471,970.21

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Solution

The fourth proportional to 550,481,244.82, 824,632,241.92 and 481,471,970.21 is: 721,254,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,481,244.82 : 824,632,241.92 = 481,471,970.21 : x
  2. Step 2: Convert to fraction form
    550,481,244.82/824,632,241.92 = 481,471,970.21/x
  3. Step 3: Cross multiply
    550,481,244.82x = 824,632,241.92 × 481,471,970.21
  4. Step 4: Simplify right side
    550,481,244.82x = 397,037,310,213,504,384
  5. Step 5: Solve for x
    x = 397,037,310,213,504,384/550,481,244.82
  6. Step 6: Final answer
    x = 721,254,927.31

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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.