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Finding the Fourth Proportional to 206,857,642,251.02, 310,286,463,376.52 and 206,857,642,251.02

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Solution

The fourth proportional to 206,857,642,251.02, 310,286,463,376.52 and 206,857,642,251.02 is: 310,286,463,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857,642,251.02 : 310,286,463,376.52 = 206,857,642,251.02 : x
  2. Step 2: Convert to fraction form
    206,857,642,251.02/310,286,463,376.52 = 206,857,642,251.02/x
  3. Step 3: Cross multiply
    206,857,642,251.02x = 310,286,463,376.52 × 206,857,642,251.02
  4. Step 4: Simplify right side
    206,857,642,251.02x = 64,185,126,236,474,390,347,776
  5. Step 5: Solve for x
    x = 64,185,126,236,474,390,347,776/206,857,642,251.02
  6. Step 6: Final answer
    x = 310,286,463,376.52

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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.