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Finding the Fourth Proportional to 655,129,050,409.56, 982,693,575,614.32 and 655,129,050,409.56

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Solution

The fourth proportional to 655,129,050,409.56, 982,693,575,614.32 and 655,129,050,409.56 is: 982,693,575,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,129,050,409.56 : 982,693,575,614.32 = 655,129,050,409.56 : x
  2. Step 2: Convert to fraction form
    655,129,050,409.56/982,693,575,614.32 = 655,129,050,409.56/x
  3. Step 3: Cross multiply
    655,129,050,409.56x = 982,693,575,614.32 × 655,129,050,409.56
  4. Step 4: Simplify right side
    655,129,050,409.56x = 643,791,109,035,784,688,107,520
  5. Step 5: Solve for x
    x = 643,791,109,035,784,688,107,520/655,129,050,409.56
  6. Step 6: Final answer
    x = 982,693,575,614.32

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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.