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Finding the Fourth Proportional to 1,097,958,907,568, 1,646,938,361,352 and 1,097,958,907,568

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Solution

The fourth proportional to 1,097,958,907,568, 1,646,938,361,352 and 1,097,958,907,568 is: 1,646,938,361,352

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,958,907,568 : 1,646,938,361,352 = 1,097,958,907,568 : x
  2. Step 2: Convert to fraction form
    1,097,958,907,568/1,646,938,361,352 = 1,097,958,907,568/x
  3. Step 3: Cross multiply
    1,097,958,907,568x = 1,646,938,361,352 × 1,097,958,907,568
  4. Step 4: Simplify right side
    1,097,958,907,568x = 1,808,270,644,061,873,956,192,256
  5. Step 5: Solve for x
    x = 1,808,270,644,061,873,956,192,256/1,097,958,907,568
  6. Step 6: Final answer
    x = 1,646,938,361,352

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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.