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Finding the Fourth Proportional to 187,145,830.80, 280,214,861.40 and 187,145,830.80

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Solution

The fourth proportional to 187,145,830.80, 280,214,861.40 and 187,145,830.80 is: 280,214,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,145,830.80 : 280,214,861.40 = 187,145,830.80 : x
  2. Step 2: Convert to fraction form
    187,145,830.80/280,214,861.40 = 187,145,830.80/x
  3. Step 3: Cross multiply
    187,145,830.80x = 280,214,861.40 × 187,145,830.80
  4. Step 4: Simplify right side
    187,145,830.80x = 52,441,043,039,209,848
  5. Step 5: Solve for x
    x = 52,441,043,039,209,848/187,145,830.80
  6. Step 6: Final answer
    x = 280,214,861.40

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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.