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Finding the Fourth Proportional to 437,460,313.20, 656,190,469.80 and 437,460,313.20

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Solution

The fourth proportional to 437,460,313.20, 656,190,469.80 and 437,460,313.20 is: 656,190,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,460,313.20 : 656,190,469.80 = 437,460,313.20 : x
  2. Step 2: Convert to fraction form
    437,460,313.20/656,190,469.80 = 437,460,313.20/x
  3. Step 3: Cross multiply
    437,460,313.20x = 656,190,469.80 × 437,460,313.20
  4. Step 4: Simplify right side
    437,460,313.20x = 287,057,288,437,563,104
  5. Step 5: Solve for x
    x = 287,057,288,437,563,104/437,460,313.20
  6. Step 6: Final answer
    x = 656,190,469.80

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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.