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Finding the Fourth Proportional to 365,999,469.16, 504,953,006.37 and 233,917,780.24

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Solution

The fourth proportional to 365,999,469.16, 504,953,006.37 and 233,917,780.24 is: 322,725,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,999,469.16 : 504,953,006.37 = 233,917,780.24 : x
  2. Step 2: Convert to fraction form
    365,999,469.16/504,953,006.37 = 233,917,780.24/x
  3. Step 3: Cross multiply
    365,999,469.16x = 504,953,006.37 × 233,917,780.24
  4. Step 4: Simplify right side
    365,999,469.16x = 118,117,486,375,584,992
  5. Step 5: Solve for x
    x = 118,117,486,375,584,992/365,999,469.16
  6. Step 6: Final answer
    x = 322,725,840.69

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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.