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Finding the Fourth Proportional to 551,695,536,015.15, 827,543,304,022.73 and 551,695,536,015.15

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Solution

The fourth proportional to 551,695,536,015.15, 827,543,304,022.73 and 551,695,536,015.15 is: 827,543,304,022.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,695,536,015.15 : 827,543,304,022.73 = 551,695,536,015.15 : x
  2. Step 2: Convert to fraction form
    551,695,536,015.15/827,543,304,022.73 = 551,695,536,015.15/x
  3. Step 3: Cross multiply
    551,695,536,015.15x = 827,543,304,022.73 × 551,695,536,015.15
  4. Step 4: Simplify right side
    551,695,536,015.15x = 456,551,946,688,568,305,385,472
  5. Step 5: Solve for x
    x = 456,551,946,688,568,305,385,472/551,695,536,015.15
  6. Step 6: Final answer
    x = 827,543,304,022.73

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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.