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Finding the Fourth Proportional to 541,347,841, 747,040,016.54 and 293,823,880.84

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Solution

The fourth proportional to 541,347,841, 747,040,016.54 and 293,823,880.84 is: 405,466,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,347,841 : 747,040,016.54 = 293,823,880.84 : x
  2. Step 2: Convert to fraction form
    541,347,841/747,040,016.54 = 293,823,880.84/x
  3. Step 3: Cross multiply
    541,347,841x = 747,040,016.54 × 293,823,880.84
  4. Step 4: Simplify right side
    541,347,841x = 219,498,196,802,560,544
  5. Step 5: Solve for x
    x = 219,498,196,802,560,544/541,347,841
  6. Step 6: Final answer
    x = 405,466,098.10

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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.