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Finding the Fourth Proportional to 293,978,147.52, 405,728,474.64 and 168,579,416.64

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Solution

The fourth proportional to 293,978,147.52, 405,728,474.64 and 168,579,416.64 is: 232,661,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,978,147.52 : 405,728,474.64 = 168,579,416.64 : x
  2. Step 2: Convert to fraction form
    293,978,147.52/405,728,474.64 = 168,579,416.64/x
  3. Step 3: Cross multiply
    293,978,147.52x = 405,728,474.64 × 168,579,416.64
  4. Step 4: Simplify right side
    293,978,147.52x = 68,397,469,569,048,224
  5. Step 5: Solve for x
    x = 68,397,469,569,048,224/293,978,147.52
  6. Step 6: Final answer
    x = 232,661,747.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.