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Finding the Fourth Proportional to 867,497,545,708.80, 1,301,246,318,563.20 and 867,497,545,708.80

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Solution

The fourth proportional to 867,497,545,708.80, 1,301,246,318,563.20 and 867,497,545,708.80 is: 1,301,246,318,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,497,545,708.80 : 1,301,246,318,563.20 = 867,497,545,708.80 : x
  2. Step 2: Convert to fraction form
    867,497,545,708.80/1,301,246,318,563.20 = 867,497,545,708.80/x
  3. Step 3: Cross multiply
    867,497,545,708.80x = 1,301,246,318,563.20 × 867,497,545,708.80
  4. Step 4: Simplify right side
    867,497,545,708.80x = 1,128,827,987,716,187,367,669,760
  5. Step 5: Solve for x
    x = 1,128,827,987,716,187,367,669,760/867,497,545,708.80
  6. Step 6: Final answer
    x = 1,301,246,318,563.20

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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.