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Finding the Fourth Proportional to 193,558,551,478.80, 290,337,827,218.20 and 193,558,551,478.80

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Solution

The fourth proportional to 193,558,551,478.80, 290,337,827,218.20 and 193,558,551,478.80 is: 290,337,827,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,558,551,478.80 : 290,337,827,218.20 = 193,558,551,478.80 : x
  2. Step 2: Convert to fraction form
    193,558,551,478.80/290,337,827,218.20 = 193,558,551,478.80/x
  3. Step 3: Cross multiply
    193,558,551,478.80x = 290,337,827,218.20 × 193,558,551,478.80
  4. Step 4: Simplify right side
    193,558,551,478.80x = 56,197,369,275,856,906,616,832
  5. Step 5: Solve for x
    x = 56,197,369,275,856,906,616,832/193,558,551,478.80
  6. Step 6: Final answer
    x = 290,337,827,218.20

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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.