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Finding the Fourth Proportional to 206,858,745,022.95, 310,288,117,534.43 and 206,858,745,022.95

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Solution

The fourth proportional to 206,858,745,022.95, 310,288,117,534.43 and 206,858,745,022.95 is: 310,288,117,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,858,745,022.95 : 310,288,117,534.43 = 206,858,745,022.95 : x
  2. Step 2: Convert to fraction form
    206,858,745,022.95/310,288,117,534.43 = 206,858,745,022.95/x
  3. Step 3: Cross multiply
    206,858,745,022.95x = 310,288,117,534.43 × 206,858,745,022.95
  4. Step 4: Simplify right side
    206,858,745,022.95x = 64,185,810,588,705,801,371,648
  5. Step 5: Solve for x
    x = 64,185,810,588,705,801,371,648/206,858,745,022.95
  6. Step 6: Final answer
    x = 310,288,117,534.43

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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.