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Finding the Fourth Proportional to 378,366,975.15, 567,550,462.73 and 378,366,975.15

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Solution

The fourth proportional to 378,366,975.15, 567,550,462.73 and 378,366,975.15 is: 567,550,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,366,975.15 : 567,550,462.73 = 378,366,975.15 : x
  2. Step 2: Convert to fraction form
    378,366,975.15/567,550,462.73 = 378,366,975.15/x
  3. Step 3: Cross multiply
    378,366,975.15x = 567,550,462.73 × 378,366,975.15
  4. Step 4: Simplify right side
    378,366,975.15x = 214,742,351,828,132,896
  5. Step 5: Solve for x
    x = 214,742,351,828,132,896/378,366,975.15
  6. Step 6: Final answer
    x = 567,550,462.73

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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.