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Finding the Fourth Proportional to 401,277,400,892.88, 601,972,644,160.14 and 128,910,320,866.74

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Solution

The fourth proportional to 401,277,400,892.88, 601,972,644,160.14 and 128,910,320,866.74 is: 193,383,645,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,277,400,892.88 : 601,972,644,160.14 = 128,910,320,866.74 : x
  2. Step 2: Convert to fraction form
    401,277,400,892.88/601,972,644,160.14 = 128,910,320,866.74/x
  3. Step 3: Cross multiply
    401,277,400,892.88x = 601,972,644,160.14 × 128,910,320,866.74
  4. Step 4: Simplify right side
    401,277,400,892.88x = 77,600,486,711,683,557,883,904
  5. Step 5: Solve for x
    x = 77,600,486,711,683,557,883,904/401,277,400,892.88
  6. Step 6: Final answer
    x = 193,383,645,675.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.