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Finding the Fourth Proportional to 80,657,209,692.30, 120,985,814,538.45 and 80,657,209,692.30

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Solution

The fourth proportional to 80,657,209,692.30, 120,985,814,538.45 and 80,657,209,692.30 is: 120,985,814,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,657,209,692.30 : 120,985,814,538.45 = 80,657,209,692.30 : x
  2. Step 2: Convert to fraction form
    80,657,209,692.30/120,985,814,538.45 = 80,657,209,692.30/x
  3. Step 3: Cross multiply
    80,657,209,692.30x = 120,985,814,538.45 × 80,657,209,692.30
  4. Step 4: Simplify right side
    80,657,209,692.30x = 9,758,378,213,021,480,648,704
  5. Step 5: Solve for x
    x = 9,758,378,213,021,480,648,704/80,657,209,692.30
  6. Step 6: Final answer
    x = 120,985,814,538.45

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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.