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Finding the Fourth Proportional to 655,129,045,611.05, 982,693,568,416.55 and 655,129,045,611.05

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Solution

The fourth proportional to 655,129,045,611.05, 982,693,568,416.55 and 655,129,045,611.05 is: 982,693,568,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,129,045,611.05 : 982,693,568,416.55 = 655,129,045,611.05 : x
  2. Step 2: Convert to fraction form
    655,129,045,611.05/982,693,568,416.55 = 655,129,045,611.05/x
  3. Step 3: Cross multiply
    655,129,045,611.05x = 982,693,568,416.55 × 655,129,045,611.05
  4. Step 4: Simplify right side
    655,129,045,611.05x = 643,791,099,604,851,610,353,664
  5. Step 5: Solve for x
    x = 643,791,099,604,851,610,353,664/655,129,045,611.05
  6. Step 6: Final answer
    x = 982,693,568,416.55

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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.