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Finding the Fourth Proportional to 789,188,411.80, 1,106,677,761.80 and 789,188,411.80

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Solution

The fourth proportional to 789,188,411.80, 1,106,677,761.80 and 789,188,411.80 is: 1,106,677,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,188,411.80 : 1,106,677,761.80 = 789,188,411.80 : x
  2. Step 2: Convert to fraction form
    789,188,411.80/1,106,677,761.80 = 789,188,411.80/x
  3. Step 3: Cross multiply
    789,188,411.80x = 1,106,677,761.80 × 789,188,411.80
  4. Step 4: Simplify right side
    789,188,411.80x = 873,377,265,209,320,576
  5. Step 5: Solve for x
    x = 873,377,265,209,320,576/789,188,411.80
  6. Step 6: Final answer
    x = 1,106,677,761.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.