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Finding the Fourth Proportional to 669,299,116.98, 922,659,332.26 and 467,730,178.72

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Solution

The fourth proportional to 669,299,116.98, 922,659,332.26 and 467,730,178.72 is: 644,787,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,299,116.98 : 922,659,332.26 = 467,730,178.72 : x
  2. Step 2: Convert to fraction form
    669,299,116.98/922,659,332.26 = 467,730,178.72/x
  3. Step 3: Cross multiply
    669,299,116.98x = 922,659,332.26 × 467,730,178.72
  4. Step 4: Simplify right side
    669,299,116.98x = 431,555,614,375,645,696
  5. Step 5: Solve for x
    x = 431,555,614,375,645,696/669,299,116.98
  6. Step 6: Final answer
    x = 644,787,365.51

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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.