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Finding the Fourth Proportional to 655,129,060,743.05, 982,693,591,114.58 and 655,129,060,743.05

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Solution

The fourth proportional to 655,129,060,743.05, 982,693,591,114.58 and 655,129,060,743.05 is: 982,693,591,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,129,060,743.05 : 982,693,591,114.58 = 655,129,060,743.05 : x
  2. Step 2: Convert to fraction form
    655,129,060,743.05/982,693,591,114.58 = 655,129,060,743.05/x
  3. Step 3: Cross multiply
    655,129,060,743.05x = 982,693,591,114.58 × 655,129,060,743.05
  4. Step 4: Simplify right side
    655,129,060,743.05x = 643,791,129,345,109,583,200,256
  5. Step 5: Solve for x
    x = 643,791,129,345,109,583,200,256/655,129,060,743.05
  6. Step 6: Final answer
    x = 982,693,591,114.58

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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.