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Finding the Fourth Proportional to 1,097,958,907,580, 1,646,938,361,370 and 1,097,958,907,580

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Solution

The fourth proportional to 1,097,958,907,580, 1,646,938,361,370 and 1,097,958,907,580 is: 1,646,938,361,370

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,958,907,580 : 1,646,938,361,370 = 1,097,958,907,580 : x
  2. Step 2: Convert to fraction form
    1,097,958,907,580/1,646,938,361,370 = 1,097,958,907,580/x
  3. Step 3: Cross multiply
    1,097,958,907,580x = 1,646,938,361,370 × 1,097,958,907,580
  4. Step 4: Simplify right side
    1,097,958,907,580x = 1,808,270,644,101,400,540,217,344
  5. Step 5: Solve for x
    x = 1,808,270,644,101,400,540,217,344/1,097,958,907,580
  6. Step 6: Final answer
    x = 1,646,938,361,370

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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.