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Finding the Fourth Proportional to 378,358,647.50, 522,134,702.61 and 204,518,391.50

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Solution

The fourth proportional to 378,358,647.50, 522,134,702.61 and 204,518,391.50 is: 282,235,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,358,647.50 : 522,134,702.61 = 204,518,391.50 : x
  2. Step 2: Convert to fraction form
    378,358,647.50/522,134,702.61 = 204,518,391.50/x
  3. Step 3: Cross multiply
    378,358,647.50x = 522,134,702.61 × 204,518,391.50
  4. Step 4: Simplify right side
    378,358,647.50x = 106,786,149,524,666,448
  5. Step 5: Solve for x
    x = 106,786,149,524,666,448/378,358,647.50
  6. Step 6: Final answer
    x = 282,235,255.44

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