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Finding the Fourth Proportional to 12,752,414,496,761, 19,128,621,745,142 and 12,752,414,496,761

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Solution

The fourth proportional to 12,752,414,496,761, 19,128,621,745,142 and 12,752,414,496,761 is: 19,128,621,745,142

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,496,761 : 19,128,621,745,142 = 12,752,414,496,761 : x
  2. Step 2: Convert to fraction form
    12,752,414,496,761/19,128,621,745,142 = 12,752,414,496,761/x
  3. Step 3: Cross multiply
    12,752,414,496,761x = 19,128,621,745,142 × 12,752,414,496,761
  4. Step 4: Simplify right side
    12,752,414,496,761x = 243,936,113,245,806,533,099,388,928
  5. Step 5: Solve for x
    x = 243,936,113,245,806,533,099,388,928/12,752,414,496,761
  6. Step 6: Final answer
    x = 19,128,621,745,142

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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.