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Finding the Fourth Proportional to 378,358,655.44, 522,134,713.56 and 204,518,399.44

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Solution

The fourth proportional to 378,358,655.44, 522,134,713.56 and 204,518,399.44 is: 282,235,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,358,655.44 : 522,134,713.56 = 204,518,399.44 : x
  2. Step 2: Convert to fraction form
    378,358,655.44/522,134,713.56 = 204,518,399.44/x
  3. Step 3: Cross multiply
    378,358,655.44x = 522,134,713.56 × 204,518,399.44
  4. Step 4: Simplify right side
    378,358,655.44x = 106,786,155,909,354,064
  5. Step 5: Solve for x
    x = 106,786,155,909,354,064/378,358,655.44
  6. Step 6: Final answer
    x = 282,235,266.39

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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.