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Finding the Fourth Proportional to 378,108,590.40, 567,162,885.60 and 378,108,590.40

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Solution

The fourth proportional to 378,108,590.40, 567,162,885.60 and 378,108,590.40 is: 567,162,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,108,590.40 : 567,162,885.60 = 378,108,590.40 : x
  2. Step 2: Convert to fraction form
    378,108,590.40/567,162,885.60 = 378,108,590.40/x
  3. Step 3: Cross multiply
    378,108,590.40x = 567,162,885.60 × 378,108,590.40
  4. Step 4: Simplify right side
    378,108,590.40x = 214,449,159,201,412,448
  5. Step 5: Solve for x
    x = 214,449,159,201,412,448/378,108,590.40
  6. Step 6: Final answer
    x = 567,162,885.60

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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.