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Finding the Fourth Proportional to 196,824,327.80, 295,236,491.70 and 196,824,327.80

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Solution

The fourth proportional to 196,824,327.80, 295,236,491.70 and 196,824,327.80 is: 295,236,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,824,327.80 : 295,236,491.70 = 196,824,327.80 : x
  2. Step 2: Convert to fraction form
    196,824,327.80/295,236,491.70 = 196,824,327.80/x
  3. Step 3: Cross multiply
    196,824,327.80x = 295,236,491.70 × 196,824,327.80
  4. Step 4: Simplify right side
    196,824,327.80x = 58,109,724,020,882,784
  5. Step 5: Solve for x
    x = 58,109,724,020,882,784/196,824,327.80
  6. Step 6: Final answer
    x = 295,236,491.70

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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.