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Finding the Fourth Proportional to 378,358,640.94, 522,134,693.55 and 204,518,384.94

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Solution

The fourth proportional to 378,358,640.94, 522,134,693.55 and 204,518,384.94 is: 282,235,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,358,640.94 : 522,134,693.55 = 204,518,384.94 : x
  2. Step 2: Convert to fraction form
    378,358,640.94/522,134,693.55 = 204,518,384.94/x
  3. Step 3: Cross multiply
    378,358,640.94x = 522,134,693.55 × 204,518,384.94
  4. Step 4: Simplify right side
    378,358,640.94x = 106,786,144,245,987,840
  5. Step 5: Solve for x
    x = 106,786,144,245,987,840/378,358,640.94
  6. Step 6: Final answer
    x = 282,235,246.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.