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Finding the Fourth Proportional to 10,676,739,093.80, 16,015,108,640.70 and 10,676,739,093.80

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Solution

The fourth proportional to 10,676,739,093.80, 16,015,108,640.70 and 10,676,739,093.80 is: 16,015,108,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676,739,093.80 : 16,015,108,640.70 = 10,676,739,093.80 : x
  2. Step 2: Convert to fraction form
    10,676,739,093.80/16,015,108,640.70 = 10,676,739,093.80/x
  3. Step 3: Cross multiply
    10,676,739,093.80x = 16,015,108,640.70 × 10,676,739,093.80
  4. Step 4: Simplify right side
    10,676,739,093.80x = 170,989,136,515,615,850,496
  5. Step 5: Solve for x
    x = 170,989,136,515,615,850,496/10,676,739,093.80
  6. Step 6: Final answer
    x = 16,015,108,640.70

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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.