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Finding the Fourth Proportional to 1,995,264,008.48, 2,993,055,576.48 and 684,638,648.48

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Solution

The fourth proportional to 1,995,264,008.48, 2,993,055,576.48 and 684,638,648.48 is: 1,027,012,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995,264,008.48 : 2,993,055,576.48 = 684,638,648.48 : x
  2. Step 2: Convert to fraction form
    1,995,264,008.48/2,993,055,576.48 = 684,638,648.48/x
  3. Step 3: Cross multiply
    1,995,264,008.48x = 2,993,055,576.48 × 684,638,648.48
  4. Step 4: Simplify right side
    1,995,264,008.48x = 2,049,161,524,706,794,496
  5. Step 5: Solve for x
    x = 2,049,161,524,706,794,496/1,995,264,008.48
  6. Step 6: Final answer
    x = 1,027,012,724.13

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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.