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Finding the Fourth Proportional to 789,050,147.40, 1,107,088,853.40 and 789,050,147.40

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Solution

The fourth proportional to 789,050,147.40, 1,107,088,853.40 and 789,050,147.40 is: 1,107,088,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,050,147.40 : 1,107,088,853.40 = 789,050,147.40 : x
  2. Step 2: Convert to fraction form
    789,050,147.40/1,107,088,853.40 = 789,050,147.40/x
  3. Step 3: Cross multiply
    789,050,147.40x = 1,107,088,853.40 × 789,050,147.40
  4. Step 4: Simplify right side
    789,050,147.40x = 873,548,622,960,167,040
  5. Step 5: Solve for x
    x = 873,548,622,960,167,040/789,050,147.40
  6. Step 6: Final answer
    x = 1,107,088,853.40

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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.