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Finding the Fourth Proportional to 206,876,706,738.03, 310,315,060,107.03 and 206,876,706,738.03

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Solution

The fourth proportional to 206,876,706,738.03, 310,315,060,107.03 and 206,876,706,738.03 is: 310,315,060,107.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876,706,738.03 : 310,315,060,107.03 = 206,876,706,738.03 : x
  2. Step 2: Convert to fraction form
    206,876,706,738.03/310,315,060,107.03 = 206,876,706,738.03/x
  3. Step 3: Cross multiply
    206,876,706,738.03x = 310,315,060,107.03 × 206,876,706,738.03
  4. Step 4: Simplify right side
    206,876,706,738.03x = 64,196,957,686,156,205,490,176
  5. Step 5: Solve for x
    x = 64,196,957,686,156,205,490,176/206,876,706,738.03
  6. Step 6: Final answer
    x = 310,315,060,107.03

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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.