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Finding the Fourth Proportional to 299,575,846.60, 413,378,863.70 and 165,595,664.12

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Solution

The fourth proportional to 299,575,846.60, 413,378,863.70 and 165,595,664.12 is: 228,502,224.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,575,846.60 : 413,378,863.70 = 165,595,664.12 : x
  2. Step 2: Convert to fraction form
    299,575,846.60/413,378,863.70 = 165,595,664.12/x
  3. Step 3: Cross multiply
    299,575,846.60x = 413,378,863.70 × 165,595,664.12
  4. Step 4: Simplify right side
    299,575,846.60x = 68,453,747,467,572,464
  5. Step 5: Solve for x
    x = 68,453,747,467,572,464/299,575,846.60
  6. Step 6: Final answer
    x = 228,502,224.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.