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Finding the Fourth Proportional to 60,290,785,260.45, 90,436,177,890.68 and 60,290,785,260.45

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Solution

The fourth proportional to 60,290,785,260.45, 90,436,177,890.68 and 60,290,785,260.45 is: 90,436,177,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,290,785,260.45 : 90,436,177,890.68 = 60,290,785,260.45 : x
  2. Step 2: Convert to fraction form
    60,290,785,260.45/90,436,177,890.68 = 60,290,785,260.45/x
  3. Step 3: Cross multiply
    60,290,785,260.45x = 90,436,177,890.68 × 60,290,785,260.45
  4. Step 4: Simplify right side
    60,290,785,260.45x = 5,452,468,180,982,542,893,056
  5. Step 5: Solve for x
    x = 5,452,468,180,982,542,893,056/60,290,785,260.45
  6. Step 6: Final answer
    x = 90,436,177,890.68

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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.