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Finding the Fourth Proportional to 206,858,745,040.46, 310,288,117,560.66 and 206,858,745,040.46

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Solution

The fourth proportional to 206,858,745,040.46, 310,288,117,560.66 and 206,858,745,040.46 is: 310,288,117,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,858,745,040.46 : 310,288,117,560.66 = 206,858,745,040.46 : x
  2. Step 2: Convert to fraction form
    206,858,745,040.46/310,288,117,560.66 = 206,858,745,040.46/x
  3. Step 3: Cross multiply
    206,858,745,040.46x = 310,288,117,560.66 × 206,858,745,040.46
  4. Step 4: Simplify right side
    206,858,745,040.46x = 64,185,810,599,564,837,650,432
  5. Step 5: Solve for x
    x = 64,185,810,599,564,837,650,432/206,858,745,040.46
  6. Step 6: Final answer
    x = 310,288,117,560.66

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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.