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Finding the Fourth Proportional to 419,399,560.94, 629,252,744.93 and 195,158,203.22

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Solution

The fourth proportional to 419,399,560.94, 629,252,744.93 and 195,158,203.22 is: 292,808,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,399,560.94 : 629,252,744.93 = 195,158,203.22 : x
  2. Step 2: Convert to fraction form
    419,399,560.94/629,252,744.93 = 195,158,203.22/x
  3. Step 3: Cross multiply
    419,399,560.94x = 629,252,744.93 × 195,158,203.22
  4. Step 4: Simplify right side
    419,399,560.94x = 122,803,835,068,645,488
  5. Step 5: Solve for x
    x = 122,803,835,068,645,488/419,399,560.94
  6. Step 6: Final answer
    x = 292,808,687.72

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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.