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Finding the Fourth Proportional to 299,991,663.06, 413,985,445.38 and 166,029,843.12

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Solution

The fourth proportional to 299,991,663.06, 413,985,445.38 and 166,029,843.12 is: 229,119,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,991,663.06 : 413,985,445.38 = 166,029,843.12 : x
  2. Step 2: Convert to fraction form
    299,991,663.06/413,985,445.38 = 166,029,843.12/x
  3. Step 3: Cross multiply
    299,991,663.06x = 413,985,445.38 × 166,029,843.12
  4. Step 4: Simplify right side
    299,991,663.06x = 68,733,938,550,404,728
  5. Step 5: Solve for x
    x = 68,733,938,550,404,728/299,991,663.06
  6. Step 6: Final answer
    x = 229,119,495.69

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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.