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Finding the Fourth Proportional to 422,709,551.82, 581,270,605.68 and 366,858,007.84

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Solution

The fourth proportional to 422,709,551.82, 581,270,605.68 and 366,858,007.84 is: 504,468,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,709,551.82 : 581,270,605.68 = 366,858,007.84 : x
  2. Step 2: Convert to fraction form
    422,709,551.82/581,270,605.68 = 366,858,007.84/x
  3. Step 3: Cross multiply
    422,709,551.82x = 581,270,605.68 × 366,858,007.84
  4. Step 4: Simplify right side
    422,709,551.82x = 213,243,776,415,714,944
  5. Step 5: Solve for x
    x = 213,243,776,415,714,944/422,709,551.82
  6. Step 6: Final answer
    x = 504,468,790.68

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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.