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Finding the Fourth Proportional to 303,142,866.46, 418,342,603.94 and 177,785,476.94

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Solution

The fourth proportional to 303,142,866.46, 418,342,603.94 and 177,785,476.94 is: 245,347,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,142,866.46 : 418,342,603.94 = 177,785,476.94 : x
  2. Step 2: Convert to fraction form
    303,142,866.46/418,342,603.94 = 177,785,476.94/x
  3. Step 3: Cross multiply
    303,142,866.46x = 418,342,603.94 × 177,785,476.94
  4. Step 4: Simplify right side
    303,142,866.46x = 74,375,239,364,188,224
  5. Step 5: Solve for x
    x = 74,375,239,364,188,224/303,142,866.46
  6. Step 6: Final answer
    x = 245,347,153.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.