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Finding the Fourth Proportional to 733,536,701.65, 1,100,305,052.48 and 733,536,701.65

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Solution

The fourth proportional to 733,536,701.65, 1,100,305,052.48 and 733,536,701.65 is: 1,100,305,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,536,701.65 : 1,100,305,052.48 = 733,536,701.65 : x
  2. Step 2: Convert to fraction form
    733,536,701.65/1,100,305,052.48 = 733,536,701.65/x
  3. Step 3: Cross multiply
    733,536,701.65x = 1,100,305,052.48 × 733,536,701.65
  4. Step 4: Simplify right side
    733,536,701.65x = 807,114,139,005,009,280
  5. Step 5: Solve for x
    x = 807,114,139,005,009,280/733,536,701.65
  6. Step 6: Final answer
    x = 1,100,305,052.48

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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.