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Finding the Fourth Proportional to 172,680,657,163.80, 258,556,081,158.90 and 172,680,657,163.80

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Solution

The fourth proportional to 172,680,657,163.80, 258,556,081,158.90 and 172,680,657,163.80 is: 258,556,081,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,680,657,163.80 : 258,556,081,158.90 = 172,680,657,163.80 : x
  2. Step 2: Convert to fraction form
    172,680,657,163.80/258,556,081,158.90 = 172,680,657,163.80/x
  3. Step 3: Cross multiply
    172,680,657,163.80x = 258,556,081,158.90 × 172,680,657,163.80
  4. Step 4: Simplify right side
    172,680,657,163.80x = 44,647,634,008,215,654,498,304
  5. Step 5: Solve for x
    x = 44,647,634,008,215,654,498,304/172,680,657,163.80
  6. Step 6: Final answer
    x = 258,556,081,158.90

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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.