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Finding the Fourth Proportional to 6,970,764,047.80, 9,783,558,468.20 and 6,970,764,047.80

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Solution

The fourth proportional to 6,970,764,047.80, 9,783,558,468.20 and 6,970,764,047.80 is: 9,783,558,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970,764,047.80 : 9,783,558,468.20 = 6,970,764,047.80 : x
  2. Step 2: Convert to fraction form
    6,970,764,047.80/9,783,558,468.20 = 6,970,764,047.80/x
  3. Step 3: Cross multiply
    6,970,764,047.80x = 9,783,558,468.20 × 6,970,764,047.80
  4. Step 4: Simplify right side
    6,970,764,047.80x = 68,198,877,629,677,805,568
  5. Step 5: Solve for x
    x = 68,198,877,629,677,805,568/6,970,764,047.80
  6. Step 6: Final answer
    x = 9,783,558,468.20

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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.