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Finding the Fourth Proportional to 166,943,933,887.70, 250,415,900,831.54 and 166,943,933,887.70

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Solution

The fourth proportional to 166,943,933,887.70, 250,415,900,831.54 and 166,943,933,887.70 is: 250,415,900,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,943,933,887.70 : 250,415,900,831.54 = 166,943,933,887.70 : x
  2. Step 2: Convert to fraction form
    166,943,933,887.70/250,415,900,831.54 = 166,943,933,887.70/x
  3. Step 3: Cross multiply
    166,943,933,887.70x = 250,415,900,831.54 × 166,943,933,887.70
  4. Step 4: Simplify right side
    166,943,933,887.70x = 41,805,415,592,849,454,399,488
  5. Step 5: Solve for x
    x = 41,805,415,592,849,454,399,488/166,943,933,887.70
  6. Step 6: Final answer
    x = 250,415,900,831.54

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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.