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Finding the Fourth Proportional to 378,044,051.40, 567,066,077.10 and 378,044,051.40

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Solution

The fourth proportional to 378,044,051.40, 567,066,077.10 and 378,044,051.40 is: 567,066,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,044,051.40 : 567,066,077.10 = 378,044,051.40 : x
  2. Step 2: Convert to fraction form
    378,044,051.40/567,066,077.10 = 378,044,051.40/x
  3. Step 3: Cross multiply
    378,044,051.40x = 567,066,077.10 × 378,044,051.40
  4. Step 4: Simplify right side
    378,044,051.40x = 214,375,957,198,388,768
  5. Step 5: Solve for x
    x = 214,375,957,198,388,768/378,044,051.40
  6. Step 6: Final answer
    x = 567,066,077.10

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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.