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Finding the Fourth Proportional to 12,752,414,497,780, 19,128,621,746,670 and 12,752,414,497,780

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Solution

The fourth proportional to 12,752,414,497,780, 19,128,621,746,670 and 12,752,414,497,780 is: 19,128,621,746,670

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,497,780 : 19,128,621,746,670 = 12,752,414,497,780 : x
  2. Step 2: Convert to fraction form
    12,752,414,497,780/19,128,621,746,670 = 12,752,414,497,780/x
  3. Step 3: Cross multiply
    12,752,414,497,780x = 19,128,621,746,670 × 12,752,414,497,780
  4. Step 4: Simplify right side
    12,752,414,497,780x = 243,936,113,284,784,289,023,524,864
  5. Step 5: Solve for x
    x = 243,936,113,284,784,289,023,524,864/12,752,414,497,780
  6. Step 6: Final answer
    x = 19,128,621,746,670

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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.