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Finding the Fourth Proportional to 401,383,168.36, 601,896,799.69 and 214,591,785.10

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Solution

The fourth proportional to 401,383,168.36, 601,896,799.69 and 214,591,785.10 is: 321,792,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,383,168.36 : 601,896,799.69 = 214,591,785.10 : x
  2. Step 2: Convert to fraction form
    401,383,168.36/601,896,799.69 = 214,591,785.10/x
  3. Step 3: Cross multiply
    401,383,168.36x = 601,896,799.69 × 214,591,785.10
  4. Step 4: Simplify right side
    401,383,168.36x = 129,162,108,689,413,008
  5. Step 5: Solve for x
    x = 129,162,108,689,413,008/401,383,168.36
  6. Step 6: Final answer
    x = 321,792,538.58

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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.