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Finding the Fourth Proportional to 12,752,414,497,626, 19,128,621,746,438 and 12,752,414,497,626

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Solution

The fourth proportional to 12,752,414,497,626, 19,128,621,746,438 and 12,752,414,497,626 is: 19,128,621,746,438

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752,414,497,626 : 19,128,621,746,438 = 12,752,414,497,626 : x
  2. Step 2: Convert to fraction form
    12,752,414,497,626/19,128,621,746,438 = 12,752,414,497,626/x
  3. Step 3: Cross multiply
    12,752,414,497,626x = 19,128,621,746,438 × 12,752,414,497,626
  4. Step 4: Simplify right side
    12,752,414,497,626x = 243,936,113,278,879,911,582,367,744
  5. Step 5: Solve for x
    x = 243,936,113,278,879,911,582,367,744/12,752,414,497,626
  6. Step 6: Final answer
    x = 19,128,621,746,438

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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.