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Finding the Fourth Proportional to 911,054,057.76, 1,366,618,878 and 264,821,801.76

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Solution

The fourth proportional to 911,054,057.76, 1,366,618,878 and 264,821,801.76 is: 397,243,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    911,054,057.76 : 1,366,618,878 = 264,821,801.76 : x
  2. Step 2: Convert to fraction form
    911,054,057.76/1,366,618,878 = 264,821,801.76/x
  3. Step 3: Cross multiply
    911,054,057.76x = 1,366,618,878 × 264,821,801.76
  4. Step 4: Simplify right side
    911,054,057.76x = 361,910,473,591,189,632
  5. Step 5: Solve for x
    x = 361,910,473,591,189,632/911,054,057.76
  6. Step 6: Final answer
    x = 397,243,687.69

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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.