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Finding the Fourth Proportional to 475,488,003.90, 664,322,716.50 and 475,488,003.90

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Solution

The fourth proportional to 475,488,003.90, 664,322,716.50 and 475,488,003.90 is: 664,322,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,488,003.90 : 664,322,716.50 = 475,488,003.90 : x
  2. Step 2: Convert to fraction form
    475,488,003.90/664,322,716.50 = 475,488,003.90/x
  3. Step 3: Cross multiply
    475,488,003.90x = 664,322,716.50 × 475,488,003.90
  4. Step 4: Simplify right side
    475,488,003.90x = 315,877,482,414,010,560
  5. Step 5: Solve for x
    x = 315,877,482,414,010,560/475,488,003.90
  6. Step 6: Final answer
    x = 664,322,716.50

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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.