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Finding the Fourth Proportional to 203,462,669,168.90, 305,194,003,753.35 and 203,462,669,168.90

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Solution

The fourth proportional to 203,462,669,168.90, 305,194,003,753.35 and 203,462,669,168.90 is: 305,194,003,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,462,669,168.90 : 305,194,003,753.35 = 203,462,669,168.90 : x
  2. Step 2: Convert to fraction form
    203,462,669,168.90/305,194,003,753.35 = 203,462,669,168.90/x
  3. Step 3: Cross multiply
    203,462,669,168.90x = 305,194,003,753.35 × 203,462,669,168.90
  4. Step 4: Simplify right side
    203,462,669,168.90x = 62,095,586,617,999,870,656,512
  5. Step 5: Solve for x
    x = 62,095,586,617,999,870,656,512/203,462,669,168.90
  6. Step 6: Final answer
    x = 305,194,003,753.35

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1.5x scale

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.