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Finding the Fourth Proportional to 12,752,414,502,446, 19,128,621,753,670 and 12,752,414,502,446

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Solution

The fourth proportional to 12,752,414,502,446, 19,128,621,753,670 and 12,752,414,502,446 is: 19,128,621,753,670

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,502,446 : 19,128,621,753,670 = 12,752,414,502,446 : x
  2. Step 2: Convert to fraction form
    12,752,414,502,446/19,128,621,753,670 = 12,752,414,502,446/x
  3. Step 3: Cross multiply
    12,752,414,502,446x = 19,128,621,753,670 × 12,752,414,502,446
  4. Step 4: Simplify right side
    12,752,414,502,446x = 243,936,113,463,305,360,596,008,960
  5. Step 5: Solve for x
    x = 243,936,113,463,305,360,596,008,960/12,752,414,502,446
  6. Step 6: Final answer
    x = 19,128,621,753,670

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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.