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Finding the Fourth Proportional to 275,663,260.40, 413,494,890.60 and 178,090,692.80

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Solution

The fourth proportional to 275,663,260.40, 413,494,890.60 and 178,090,692.80 is: 267,136,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,663,260.40 : 413,494,890.60 = 178,090,692.80 : x
  2. Step 2: Convert to fraction form
    275,663,260.40/413,494,890.60 = 178,090,692.80/x
  3. Step 3: Cross multiply
    275,663,260.40x = 413,494,890.60 × 178,090,692.80
  4. Step 4: Simplify right side
    275,663,260.40x = 73,639,591,536,214,224
  5. Step 5: Solve for x
    x = 73,639,591,536,214,224/275,663,260.40
  6. Step 6: Final answer
    x = 267,136,039.20

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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.