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Finding the Fourth Proportional to 12,752,414,496,722, 19,128,621,745,084 and 12,752,414,496,722

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Solution

The fourth proportional to 12,752,414,496,722, 19,128,621,745,084 and 12,752,414,496,722 is: 19,128,621,745,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,496,722 : 19,128,621,745,084 = 12,752,414,496,722 : x
  2. Step 2: Convert to fraction form
    12,752,414,496,722/19,128,621,745,084 = 12,752,414,496,722/x
  3. Step 3: Cross multiply
    12,752,414,496,722x = 19,128,621,745,084 × 12,752,414,496,722
  4. Step 4: Simplify right side
    12,752,414,496,722x = 243,936,113,244,320,886,731,833,344
  5. Step 5: Solve for x
    x = 243,936,113,244,320,886,731,833,344/12,752,414,496,722
  6. Step 6: Final answer
    x = 19,128,621,745,084

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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.