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Finding the Fourth Proportional to 817,545,309.40, 1,226,317,964.10 and 817,545,309.40

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Solution

The fourth proportional to 817,545,309.40, 1,226,317,964.10 and 817,545,309.40 is: 1,226,317,964.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,545,309.40 : 1,226,317,964.10 = 817,545,309.40 : x
  2. Step 2: Convert to fraction form
    817,545,309.40/1,226,317,964.10 = 817,545,309.40/x
  3. Step 3: Cross multiply
    817,545,309.40x = 1,226,317,964.10 × 817,545,309.40
  4. Step 4: Simplify right side
    817,545,309.40x = 1,002,570,499,382,912,512
  5. Step 5: Solve for x
    x = 1,002,570,499,382,912,512/817,545,309.40
  6. Step 6: Final answer
    x = 1,226,317,964.10

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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.