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Finding the Fourth Proportional to 12,752,414,497,029, 19,128,621,745,544 and 12,752,414,497,029

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Solution

The fourth proportional to 12,752,414,497,029, 19,128,621,745,544 and 12,752,414,497,029 is: 19,128,621,745,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,497,029 : 19,128,621,745,544 = 12,752,414,497,029 : x
  2. Step 2: Convert to fraction form
    12,752,414,497,029/19,128,621,745,544 = 12,752,414,497,029/x
  3. Step 3: Cross multiply
    12,752,414,497,029x = 19,128,621,745,544 × 12,752,414,497,029
  4. Step 4: Simplify right side
    12,752,414,497,029x = 243,936,113,256,059,479,028,400,128
  5. Step 5: Solve for x
    x = 243,936,113,256,059,479,028,400,128/12,752,414,497,029
  6. Step 6: Final answer
    x = 19,128,621,745,544

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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.