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Finding the Fourth Proportional to 295,866,747.23, 408,296,589.47 and 163,713,313.76

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Solution

The fourth proportional to 295,866,747.23, 408,296,589.47 and 163,713,313.76 is: 225,924,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,866,747.23 : 408,296,589.47 = 163,713,313.76 : x
  2. Step 2: Convert to fraction form
    295,866,747.23/408,296,589.47 = 163,713,313.76/x
  3. Step 3: Cross multiply
    295,866,747.23x = 408,296,589.47 × 163,713,313.76
  4. Step 4: Simplify right side
    295,866,747.23x = 66,843,587,659,040,024
  5. Step 5: Solve for x
    x = 66,843,587,659,040,024/295,866,747.23
  6. Step 6: Final answer
    x = 225,924,637.64

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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.