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Finding the Fourth Proportional to 12,568,313,929,566, 18,852,470,894,348 and 12,568,313,929,566

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Solution

The fourth proportional to 12,568,313,929,566, 18,852,470,894,348 and 12,568,313,929,566 is: 18,852,470,894,348

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568,313,929,566 : 18,852,470,894,348 = 12,568,313,929,566 : x
  2. Step 2: Convert to fraction form
    12,568,313,929,566/18,852,470,894,348 = 12,568,313,929,566/x
  3. Step 3: Cross multiply
    12,568,313,929,566x = 18,852,470,894,348 × 12,568,313,929,566
  4. Step 4: Simplify right side
    12,568,313,929,566x = 236,943,772,548,171,571,094,618,112
  5. Step 5: Solve for x
    x = 236,943,772,548,171,571,094,618,112/12,568,313,929,566
  6. Step 6: Final answer
    x = 18,852,470,894,348

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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.