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Finding the Fourth Proportional to 10,676,739,096.80, 16,015,108,645.20 and 10,676,739,096.80

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Solution

The fourth proportional to 10,676,739,096.80, 16,015,108,645.20 and 10,676,739,096.80 is: 16,015,108,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676,739,096.80 : 16,015,108,645.20 = 10,676,739,096.80 : x
  2. Step 2: Convert to fraction form
    10,676,739,096.80/16,015,108,645.20 = 10,676,739,096.80/x
  3. Step 3: Cross multiply
    10,676,739,096.80x = 16,015,108,645.20 × 10,676,739,096.80
  4. Step 4: Simplify right side
    10,676,739,096.80x = 170,989,136,611,706,503,168
  5. Step 5: Solve for x
    x = 170,989,136,611,706,503,168/10,676,739,096.80
  6. Step 6: Final answer
    x = 16,015,108,645.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.