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Finding the Fourth Proportional to 461,791,682.44, 692,776,642.98 and 150,815,696.53

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Solution

The fourth proportional to 461,791,682.44, 692,776,642.98 and 150,815,696.53 is: 226,252,650.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,791,682.44 : 692,776,642.98 = 150,815,696.53 : x
  2. Step 2: Convert to fraction form
    461,791,682.44/692,776,642.98 = 150,815,696.53/x
  3. Step 3: Cross multiply
    461,791,682.44x = 692,776,642.98 × 150,815,696.53
  4. Step 4: Simplify right side
    461,791,682.44x = 104,481,591,950,743,840
  5. Step 5: Solve for x
    x = 104,481,591,950,743,840/461,791,682.44
  6. Step 6: Final answer
    x = 226,252,650.11

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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.