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Finding the Fourth Proportional to 12,752,414,496,410, 19,128,621,744,614 and 12,752,414,496,410

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Solution

The fourth proportional to 12,752,414,496,410, 19,128,621,744,614 and 12,752,414,496,410 is: 19,128,621,744,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,496,410 : 19,128,621,744,614 = 12,752,414,496,410 : x
  2. Step 2: Convert to fraction form
    12,752,414,496,410/19,128,621,744,614 = 12,752,414,496,410/x
  3. Step 3: Cross multiply
    12,752,414,496,410x = 19,128,621,744,614 × 12,752,414,496,410
  4. Step 4: Simplify right side
    12,752,414,496,410x = 243,936,113,232,359,127,934,566,400
  5. Step 5: Solve for x
    x = 243,936,113,232,359,127,934,566,400/12,752,414,496,410
  6. Step 6: Final answer
    x = 19,128,621,744,614

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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.