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Finding the Fourth Proportional to 362,835,507.82, 500,698,578.66 and 214,204,507.30

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Solution

The fourth proportional to 362,835,507.82, 500,698,578.66 and 214,204,507.30 is: 295,593,705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,835,507.82 : 500,698,578.66 = 214,204,507.30 : x
  2. Step 2: Convert to fraction form
    362,835,507.82/500,698,578.66 = 214,204,507.30/x
  3. Step 3: Cross multiply
    362,835,507.82x = 500,698,578.66 × 214,204,507.30
  4. Step 4: Simplify right side
    362,835,507.82x = 107,251,892,347,675,600
  5. Step 5: Solve for x
    x = 107,251,892,347,675,600/362,835,507.82
  6. Step 6: Final answer
    x = 295,593,705.79

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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.