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Finding the Fourth Proportional to 996,419,909.19, 1,494,629,863.77 and 996,419,909.19

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Solution

The fourth proportional to 996,419,909.19, 1,494,629,863.77 and 996,419,909.19 is: 1,494,629,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,419,909.19 : 1,494,629,863.77 = 996,419,909.19 : x
  2. Step 2: Convert to fraction form
    996,419,909.19/1,494,629,863.77 = 996,419,909.19/x
  3. Step 3: Cross multiply
    996,419,909.19x = 1,494,629,863.77 × 996,419,909.19
  4. Step 4: Simplify right side
    996,419,909.19x = 1,489,278,953,130,365,440
  5. Step 5: Solve for x
    x = 1,489,278,953,130,365,440/996,419,909.19
  6. Step 6: Final answer
    x = 1,494,629,863.77

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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.