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Finding the Fourth Proportional to 203,462,669,265.90, 305,194,003,898.85 and 203,462,669,265.90

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Solution

The fourth proportional to 203,462,669,265.90, 305,194,003,898.85 and 203,462,669,265.90 is: 305,194,003,898.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,462,669,265.90 : 305,194,003,898.85 = 203,462,669,265.90 : x
  2. Step 2: Convert to fraction form
    203,462,669,265.90/305,194,003,898.85 = 203,462,669,265.90/x
  3. Step 3: Cross multiply
    203,462,669,265.90x = 305,194,003,898.85 × 203,462,669,265.90
  4. Step 4: Simplify right side
    203,462,669,265.90x = 62,095,586,677,207,504,781,312
  5. Step 5: Solve for x
    x = 62,095,586,677,207,504,781,312/203,462,669,265.90
  6. Step 6: Final answer
    x = 305,194,003,898.85

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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.