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Finding the Fourth Proportional to 226,808,017,029.45, 340,212,025,544.18 and 226,808,017,029.45

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Solution

The fourth proportional to 226,808,017,029.45, 340,212,025,544.18 and 226,808,017,029.45 is: 340,212,025,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,808,017,029.45 : 340,212,025,544.18 = 226,808,017,029.45 : x
  2. Step 2: Convert to fraction form
    226,808,017,029.45/340,212,025,544.18 = 226,808,017,029.45/x
  3. Step 3: Cross multiply
    226,808,017,029.45x = 340,212,025,544.18 × 226,808,017,029.45
  4. Step 4: Simplify right side
    226,808,017,029.45x = 77,162,814,883,248,052,633,600
  5. Step 5: Solve for x
    x = 77,162,814,883,248,052,633,600/226,808,017,029.45
  6. Step 6: Final answer
    x = 340,212,025,544.18

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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.