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Finding the Fourth Proportional to 170,975,251,806.40, 238,876,128,910.40 and 170,975,251,806.40

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Solution

The fourth proportional to 170,975,251,806.40, 238,876,128,910.40 and 170,975,251,806.40 is: 238,876,128,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,975,251,806.40 : 238,876,128,910.40 = 170,975,251,806.40 : x
  2. Step 2: Convert to fraction form
    170,975,251,806.40/238,876,128,910.40 = 170,975,251,806.40/x
  3. Step 3: Cross multiply
    170,975,251,806.40x = 238,876,128,910.40 × 170,975,251,806.40
  4. Step 4: Simplify right side
    170,975,251,806.40x = 40,841,906,290,993,706,041,344
  5. Step 5: Solve for x
    x = 40,841,906,290,993,706,041,344/170,975,251,806.40
  6. Step 6: Final answer
    x = 238,876,128,910.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.