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Finding the Fourth Proportional to 613,469,283.84, 846,473,647.68 and 349,135,560.54

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Solution

The fourth proportional to 613,469,283.84, 846,473,647.68 and 349,135,560.54 is: 481,742,214.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,469,283.84 : 846,473,647.68 = 349,135,560.54 : x
  2. Step 2: Convert to fraction form
    613,469,283.84/846,473,647.68 = 349,135,560.54/x
  3. Step 3: Cross multiply
    613,469,283.84x = 846,473,647.68 × 349,135,560.54
  4. Step 4: Simplify right side
    613,469,283.84x = 295,534,051,465,095,296
  5. Step 5: Solve for x
    x = 295,534,051,465,095,296/613,469,283.84
  6. Step 6: Final answer
    x = 481,742,214.73

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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.