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Finding the Fourth Proportional to 733,536,700.15, 1,100,305,050.23 and 733,536,700.15

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Solution

The fourth proportional to 733,536,700.15, 1,100,305,050.23 and 733,536,700.15 is: 1,100,305,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,536,700.15 : 1,100,305,050.23 = 733,536,700.15 : x
  2. Step 2: Convert to fraction form
    733,536,700.15/1,100,305,050.23 = 733,536,700.15/x
  3. Step 3: Cross multiply
    733,536,700.15x = 1,100,305,050.23 × 733,536,700.15
  4. Step 4: Simplify right side
    733,536,700.15x = 807,114,135,704,094,208
  5. Step 5: Solve for x
    x = 807,114,135,704,094,208/733,536,700.15
  6. Step 6: Final answer
    x = 1,100,305,050.23

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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.