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Finding the Fourth Proportional to 12,752,414,496,750, 19,128,621,745,126 and 12,752,414,496,750

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Solution

The fourth proportional to 12,752,414,496,750, 19,128,621,745,126 and 12,752,414,496,750 is: 19,128,621,745,126

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,496,750 : 19,128,621,745,126 = 12,752,414,496,750 : x
  2. Step 2: Convert to fraction form
    12,752,414,496,750/19,128,621,745,126 = 12,752,414,496,750/x
  3. Step 3: Cross multiply
    12,752,414,496,750x = 19,128,621,745,126 × 12,752,414,496,750
  4. Step 4: Simplify right side
    12,752,414,496,750x = 243,936,113,245,392,085,935,194,112
  5. Step 5: Solve for x
    x = 243,936,113,245,392,085,935,194,112/12,752,414,496,750
  6. Step 6: Final answer
    x = 19,128,621,745,126

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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.