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Finding the Fourth Proportional to 295,488,067.30, 414,363,538.70 and 295,488,067.30

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Solution

The fourth proportional to 295,488,067.30, 414,363,538.70 and 295,488,067.30 is: 414,363,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,488,067.30 : 414,363,538.70 = 295,488,067.30 : x
  2. Step 2: Convert to fraction form
    295,488,067.30/414,363,538.70 = 295,488,067.30/x
  3. Step 3: Cross multiply
    295,488,067.30x = 414,363,538.70 × 295,488,067.30
  4. Step 4: Simplify right side
    295,488,067.30x = 122,439,481,210,051,760
  5. Step 5: Solve for x
    x = 122,439,481,210,051,760/295,488,067.30
  6. Step 6: Final answer
    x = 414,363,538.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.