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Finding the Fourth Proportional to 11,625,514,632,017, 17,438,271,948,026 and 11,625,514,632,017

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Solution

The fourth proportional to 11,625,514,632,017, 17,438,271,948,026 and 11,625,514,632,017 is: 17,438,271,948,026

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625,514,632,017 : 17,438,271,948,026 = 11,625,514,632,017 : x
  2. Step 2: Convert to fraction form
    11,625,514,632,017/17,438,271,948,026 = 11,625,514,632,017/x
  3. Step 3: Cross multiply
    11,625,514,632,017x = 17,438,271,948,026 × 11,625,514,632,017
  4. Step 4: Simplify right side
    11,625,514,632,017x = 202,728,885,688,867,864,124,063,744
  5. Step 5: Solve for x
    x = 202,728,885,688,867,864,124,063,744/11,625,514,632,017
  6. Step 6: Final answer
    x = 17,438,271,948,026

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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.