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Finding the Fourth Proportional to 305,222,094,233.70, 457,833,141,350.55 and 305,222,094,233.70

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Solution

The fourth proportional to 305,222,094,233.70, 457,833,141,350.55 and 305,222,094,233.70 is: 457,833,141,350.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,222,094,233.70 : 457,833,141,350.55 = 305,222,094,233.70 : x
  2. Step 2: Convert to fraction form
    305,222,094,233.70/457,833,141,350.55 = 305,222,094,233.70/x
  3. Step 3: Cross multiply
    305,222,094,233.70x = 457,833,141,350.55 × 305,222,094,233.70
  4. Step 4: Simplify right side
    305,222,094,233.70x = 139,740,790,212,608,472,907,776
  5. Step 5: Solve for x
    x = 139,740,790,212,608,472,907,776/305,222,094,233.70
  6. Step 6: Final answer
    x = 457,833,141,350.55

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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.