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Finding the Fourth Proportional to 16,143,670,203.15, 24,215,505,304.73 and 16,143,670,203.15

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Solution

The fourth proportional to 16,143,670,203.15, 24,215,505,304.73 and 16,143,670,203.15 is: 24,215,505,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143,670,203.15 : 24,215,505,304.73 = 16,143,670,203.15 : x
  2. Step 2: Convert to fraction form
    16,143,670,203.15/24,215,505,304.73 = 16,143,670,203.15/x
  3. Step 3: Cross multiply
    16,143,670,203.15x = 24,215,505,304.73 × 16,143,670,203.15
  4. Step 4: Simplify right side
    16,143,670,203.15x = 390,927,131,442,109,677,568
  5. Step 5: Solve for x
    x = 390,927,131,442,109,677,568/16,143,670,203.15
  6. Step 6: Final answer
    x = 24,215,505,304.73

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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.