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Finding the Fourth Proportional to 150,611,856,563.40, 225,917,784,845.10 and 150,611,856,563.40

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Solution

The fourth proportional to 150,611,856,563.40, 225,917,784,845.10 and 150,611,856,563.40 is: 225,917,784,845.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,611,856,563.40 : 225,917,784,845.10 = 150,611,856,563.40 : x
  2. Step 2: Convert to fraction form
    150,611,856,563.40/225,917,784,845.10 = 150,611,856,563.40/x
  3. Step 3: Cross multiply
    150,611,856,563.40x = 225,917,784,845.10 × 150,611,856,563.40
  4. Step 4: Simplify right side
    150,611,856,563.40x = 34,025,897,006,211,264,413,696
  5. Step 5: Solve for x
    x = 34,025,897,006,211,264,413,696/150,611,856,563.40
  6. Step 6: Final answer
    x = 225,917,784,845.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.