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Finding the Fourth Proportional to 734,081,543,367.80, 1,101,122,315,051.70 and 734,081,543,367.80

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Solution

The fourth proportional to 734,081,543,367.80, 1,101,122,315,051.70 and 734,081,543,367.80 is: 1,101,122,315,051.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,081,543,367.80 : 1,101,122,315,051.70 = 734,081,543,367.80 : x
  2. Step 2: Convert to fraction form
    734,081,543,367.80/1,101,122,315,051.70 = 734,081,543,367.80/x
  3. Step 3: Cross multiply
    734,081,543,367.80x = 1,101,122,315,051.70 × 734,081,543,367.80
  4. Step 4: Simplify right side
    734,081,543,367.80x = 808,313,568,469,876,893,286,400
  5. Step 5: Solve for x
    x = 808,313,568,469,876,893,286,400/734,081,543,367.80
  6. Step 6: Final answer
    x = 1,101,122,315,051.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.