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Finding the Fourth Proportional to 206,857,642,230.02, 310,286,463,345.02 and 206,857,642,230.02

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Solution

The fourth proportional to 206,857,642,230.02, 310,286,463,345.02 and 206,857,642,230.02 is: 310,286,463,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857,642,230.02 : 310,286,463,345.02 = 206,857,642,230.02 : x
  2. Step 2: Convert to fraction form
    206,857,642,230.02/310,286,463,345.02 = 206,857,642,230.02/x
  3. Step 3: Cross multiply
    206,857,642,230.02x = 310,286,463,345.02 × 206,857,642,230.02
  4. Step 4: Simplify right side
    206,857,642,230.02x = 64,185,126,223,442,360,664,064
  5. Step 5: Solve for x
    x = 64,185,126,223,442,360,664,064/206,857,642,230.02
  6. Step 6: Final answer
    x = 310,286,463,345.02

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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.