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Finding the Fourth Proportional to 18,625,993,695.20, 27,938,990,542.80 and 18,625,993,695.20

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Solution

The fourth proportional to 18,625,993,695.20, 27,938,990,542.80 and 18,625,993,695.20 is: 27,938,990,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,625,993,695.20 : 27,938,990,542.80 = 18,625,993,695.20 : x
  2. Step 2: Convert to fraction form
    18,625,993,695.20/27,938,990,542.80 = 18,625,993,695.20/x
  3. Step 3: Cross multiply
    18,625,993,695.20x = 27,938,990,542.80 × 18,625,993,695.20
  4. Step 4: Simplify right side
    18,625,993,695.20x = 520,391,461,700,445,208,576
  5. Step 5: Solve for x
    x = 520,391,461,700,445,208,576/18,625,993,695.20
  6. Step 6: Final answer
    x = 27,938,990,542.80

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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.