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Finding the Fourth Proportional to 919,368,873,004.23, 1,379,053,309,506.30 and 919,368,873,004.23

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Solution

The fourth proportional to 919,368,873,004.23, 1,379,053,309,506.30 and 919,368,873,004.23 is: 1,379,053,309,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,368,873,004.23 : 1,379,053,309,506.30 = 919,368,873,004.23 : x
  2. Step 2: Convert to fraction form
    919,368,873,004.23/1,379,053,309,506.30 = 919,368,873,004.23/x
  3. Step 3: Cross multiply
    919,368,873,004.23x = 1,379,053,309,506.30 × 919,368,873,004.23
  4. Step 4: Simplify right side
    919,368,873,004.23x = 1,267,858,686,973,560,588,599,296
  5. Step 5: Solve for x
    x = 1,267,858,686,973,560,588,599,296/919,368,873,004.23
  6. Step 6: Final answer
    x = 1,379,053,309,506.30

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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.