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Finding the Fourth Proportional to 13,203,670,277.70, 19,805,505,416.55 and 13,203,670,277.70

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Solution

The fourth proportional to 13,203,670,277.70, 19,805,505,416.55 and 13,203,670,277.70 is: 19,805,505,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,203,670,277.70 : 19,805,505,416.55 = 13,203,670,277.70 : x
  2. Step 2: Convert to fraction form
    13,203,670,277.70/19,805,505,416.55 = 13,203,670,277.70/x
  3. Step 3: Cross multiply
    13,203,670,277.70x = 19,805,505,416.55 × 13,203,670,277.70
  4. Step 4: Simplify right side
    13,203,670,277.70x = 261,505,363,203,327,590,400
  5. Step 5: Solve for x
    x = 261,505,363,203,327,590,400/13,203,670,277.70
  6. Step 6: Final answer
    x = 19,805,505,416.55

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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.