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Finding the Fourth Proportional to 203,462,669,178.40, 305,194,003,767.60 and 203,462,669,178.40

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Solution

The fourth proportional to 203,462,669,178.40, 305,194,003,767.60 and 203,462,669,178.40 is: 305,194,003,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,462,669,178.40 : 305,194,003,767.60 = 203,462,669,178.40 : x
  2. Step 2: Convert to fraction form
    203,462,669,178.40/305,194,003,767.60 = 203,462,669,178.40/x
  3. Step 3: Cross multiply
    203,462,669,178.40x = 305,194,003,767.60 × 203,462,669,178.40
  4. Step 4: Simplify right side
    203,462,669,178.40x = 62,095,586,623,798,554,656,768
  5. Step 5: Solve for x
    x = 62,095,586,623,798,554,656,768/203,462,669,178.40
  6. Step 6: Final answer
    x = 305,194,003,767.60

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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.