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Finding the Fourth Proportional to 12,752,414,496,075, 19,128,621,744,109 and 12,752,414,496,075

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Solution

The fourth proportional to 12,752,414,496,075, 19,128,621,744,109 and 12,752,414,496,075 is: 19,128,621,744,109

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,496,075 : 19,128,621,744,109 = 12,752,414,496,075 : x
  2. Step 2: Convert to fraction form
    12,752,414,496,075/19,128,621,744,109 = 12,752,414,496,075/x
  3. Step 3: Cross multiply
    12,752,414,496,075x = 19,128,621,744,109 × 12,752,414,496,075
  4. Step 4: Simplify right side
    12,752,414,496,075x = 243,936,113,219,511,059,686,096,896
  5. Step 5: Solve for x
    x = 243,936,113,219,511,059,686,096,896/12,752,414,496,075
  6. Step 6: Final answer
    x = 19,128,621,744,109

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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.