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Finding the Fourth Proportional to 165,657,205,830.20, 248,485,808,745.30 and 165,657,205,830.20

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Solution

The fourth proportional to 165,657,205,830.20, 248,485,808,745.30 and 165,657,205,830.20 is: 248,485,808,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,657,205,830.20 : 248,485,808,745.30 = 165,657,205,830.20 : x
  2. Step 2: Convert to fraction form
    165,657,205,830.20/248,485,808,745.30 = 165,657,205,830.20/x
  3. Step 3: Cross multiply
    165,657,205,830.20x = 248,485,808,745.30 × 165,657,205,830.20
  4. Step 4: Simplify right side
    165,657,205,830.20x = 41,163,464,765,203,871,170,560
  5. Step 5: Solve for x
    x = 41,163,464,765,203,871,170,560/165,657,205,830.20
  6. Step 6: Final answer
    x = 248,485,808,745.30

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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.