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Finding the Fourth Proportional to 80,657,144,492.80, 120,985,716,739.20 and 80,657,144,492.80

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Solution

The fourth proportional to 80,657,144,492.80, 120,985,716,739.20 and 80,657,144,492.80 is: 120,985,716,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,657,144,492.80 : 120,985,716,739.20 = 80,657,144,492.80 : x
  2. Step 2: Convert to fraction form
    80,657,144,492.80/120,985,716,739.20 = 80,657,144,492.80/x
  3. Step 3: Cross multiply
    80,657,144,492.80x = 120,985,716,739.20 × 80,657,144,492.80
  4. Step 4: Simplify right side
    80,657,144,492.80x = 9,758,362,436,598,625,206,272
  5. Step 5: Solve for x
    x = 9,758,362,436,598,625,206,272/80,657,144,492.80
  6. Step 6: Final answer
    x = 120,985,716,739.20

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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.