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Finding the Fourth Proportional to 367,458,809,315.80, 551,188,213,973.70 and 367,458,809,315.80

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Solution

The fourth proportional to 367,458,809,315.80, 551,188,213,973.70 and 367,458,809,315.80 is: 551,188,213,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,458,809,315.80 : 551,188,213,973.70 = 367,458,809,315.80 : x
  2. Step 2: Convert to fraction form
    367,458,809,315.80/551,188,213,973.70 = 367,458,809,315.80/x
  3. Step 3: Cross multiply
    367,458,809,315.80x = 551,188,213,973.70 × 367,458,809,315.80
  4. Step 4: Simplify right side
    367,458,809,315.80x = 202,538,964,815,678,179,115,008
  5. Step 5: Solve for x
    x = 202,538,964,815,678,179,115,008/367,458,809,315.80
  6. Step 6: Final answer
    x = 551,188,213,973.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.