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Finding the Fourth Proportional to 12,752,414,496,772, 19,128,621,745,159 and 12,752,414,496,772

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Solution

The fourth proportional to 12,752,414,496,772, 19,128,621,745,159 and 12,752,414,496,772 is: 19,128,621,745,159

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,496,772 : 19,128,621,745,159 = 12,752,414,496,772 : x
  2. Step 2: Convert to fraction form
    12,752,414,496,772/19,128,621,745,159 = 12,752,414,496,772/x
  3. Step 3: Cross multiply
    12,752,414,496,772x = 19,128,621,745,159 × 12,752,414,496,772
  4. Step 4: Simplify right side
    12,752,414,496,772x = 243,936,113,246,233,762,086,256,640
  5. Step 5: Solve for x
    x = 243,936,113,246,233,762,086,256,640/12,752,414,496,772
  6. Step 6: Final answer
    x = 19,128,621,745,159

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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.