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Finding the Fourth Proportional to 166,943,933,892.45, 250,415,900,838.68 and 166,943,933,892.45

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Solution

The fourth proportional to 166,943,933,892.45, 250,415,900,838.68 and 166,943,933,892.45 is: 250,415,900,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,943,933,892.45 : 250,415,900,838.68 = 166,943,933,892.45 : x
  2. Step 2: Convert to fraction form
    166,943,933,892.45/250,415,900,838.68 = 166,943,933,892.45/x
  3. Step 3: Cross multiply
    166,943,933,892.45x = 250,415,900,838.68 × 166,943,933,892.45
  4. Step 4: Simplify right side
    166,943,933,892.45x = 41,805,415,595,230,913,101,824
  5. Step 5: Solve for x
    x = 41,805,415,595,230,913,101,824/166,943,933,892.45
  6. Step 6: Final answer
    x = 250,415,900,838.68

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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.