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Finding the Fourth Proportional to 1,999,647,427.04, 2,999,481,105.72 and 819,872,321.48

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Solution

The fourth proportional to 1,999,647,427.04, 2,999,481,105.72 and 819,872,321.48 is: 1,229,812,568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,647,427.04 : 2,999,481,105.72 = 819,872,321.48 : x
  2. Step 2: Convert to fraction form
    1,999,647,427.04/2,999,481,105.72 = 819,872,321.48/x
  3. Step 3: Cross multiply
    1,999,647,427.04x = 2,999,481,105.72 × 819,872,321.48
  4. Step 4: Simplify right side
    1,999,647,427.04x = 2,459,191,537,382,053,376
  5. Step 5: Solve for x
    x = 2,459,191,537,382,053,376/1,999,647,427.04
  6. Step 6: Final answer
    x = 1,229,812,568.02

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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.