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Finding the Fourth Proportional to 206,857,642,225.52, 310,286,463,338.28 and 206,857,642,225.52

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Solution

The fourth proportional to 206,857,642,225.52, 310,286,463,338.28 and 206,857,642,225.52 is: 310,286,463,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857,642,225.52 : 310,286,463,338.28 = 206,857,642,225.52 : x
  2. Step 2: Convert to fraction form
    206,857,642,225.52/310,286,463,338.28 = 206,857,642,225.52/x
  3. Step 3: Cross multiply
    206,857,642,225.52x = 310,286,463,338.28 × 206,857,642,225.52
  4. Step 4: Simplify right side
    206,857,642,225.52x = 64,185,126,220,651,856,658,432
  5. Step 5: Solve for x
    x = 64,185,126,220,651,856,658,432/206,857,642,225.52
  6. Step 6: Final answer
    x = 310,286,463,338.28

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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.