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Finding the Fourth Proportional to 301,961,814.49, 416,698,863.11 and 182,954,866.42

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Solution

The fourth proportional to 301,961,814.49, 416,698,863.11 and 182,954,866.42 is: 252,472,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,961,814.49 : 416,698,863.11 = 182,954,866.42 : x
  2. Step 2: Convert to fraction form
    301,961,814.49/416,698,863.11 = 182,954,866.42/x
  3. Step 3: Cross multiply
    301,961,814.49x = 416,698,863.11 × 182,954,866.42
  4. Step 4: Simplify right side
    301,961,814.49x = 76,237,084,837,948,080
  5. Step 5: Solve for x
    x = 76,237,084,837,948,080/301,961,814.49
  6. Step 6: Final answer
    x = 252,472,601.44

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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.