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Finding the Fourth Proportional to 655,129,045,578.05, 982,693,568,367.08 and 655,129,045,578.05

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Solution

The fourth proportional to 655,129,045,578.05, 982,693,568,367.08 and 655,129,045,578.05 is: 982,693,568,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,129,045,578.05 : 982,693,568,367.08 = 655,129,045,578.05 : x
  2. Step 2: Convert to fraction form
    655,129,045,578.05/982,693,568,367.08 = 655,129,045,578.05/x
  3. Step 3: Cross multiply
    655,129,045,578.05x = 982,693,568,367.08 × 655,129,045,578.05
  4. Step 4: Simplify right side
    655,129,045,578.05x = 643,791,099,540,013,307,658,240
  5. Step 5: Solve for x
    x = 643,791,099,540,013,307,658,240/655,129,045,578.05
  6. Step 6: Final answer
    x = 982,693,568,367.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.