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Finding the Fourth Proportional to 165,657,206,548.20, 248,485,809,822.30 and 165,657,206,548.20

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Solution

The fourth proportional to 165,657,206,548.20, 248,485,809,822.30 and 165,657,206,548.20 is: 248,485,809,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,657,206,548.20 : 248,485,809,822.30 = 165,657,206,548.20 : x
  2. Step 2: Convert to fraction form
    165,657,206,548.20/248,485,809,822.30 = 165,657,206,548.20/x
  3. Step 3: Cross multiply
    165,657,206,548.20x = 248,485,809,822.30 × 165,657,206,548.20
  4. Step 4: Simplify right side
    165,657,206,548.20x = 41,163,465,122,029,494,075,392
  5. Step 5: Solve for x
    x = 41,163,465,122,029,494,075,392/165,657,206,548.20
  6. Step 6: Final answer
    x = 248,485,809,822.30

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1.5x scale

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.