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Finding the Fourth Proportional to 952,697,728, 1,428,888,089.24 and 288,553,844.54

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Solution

The fourth proportional to 952,697,728, 1,428,888,089.24 and 288,553,844.54 is: 432,782,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,697,728 : 1,428,888,089.24 = 288,553,844.54 : x
  2. Step 2: Convert to fraction form
    952,697,728/1,428,888,089.24 = 288,553,844.54/x
  3. Step 3: Cross multiply
    952,697,728x = 1,428,888,089.24 × 288,553,844.54
  4. Step 4: Simplify right side
    952,697,728x = 412,311,151,567,616,640
  5. Step 5: Solve for x
    x = 412,311,151,567,616,640/952,697,728
  6. Step 6: Final answer
    x = 432,782,759.37

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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.