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Finding the Fourth Proportional to 222,652,746,014.65, 333,979,119,021.97 and 222,652,746,014.65

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Solution

The fourth proportional to 222,652,746,014.65, 333,979,119,021.97 and 222,652,746,014.65 is: 333,979,119,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,652,746,014.65 : 333,979,119,021.97 = 222,652,746,014.65 : x
  2. Step 2: Convert to fraction form
    222,652,746,014.65/333,979,119,021.97 = 222,652,746,014.65/x
  3. Step 3: Cross multiply
    222,652,746,014.65x = 333,979,119,021.97 × 222,652,746,014.65
  4. Step 4: Simplify right side
    222,652,746,014.65x = 74,361,367,961,795,240,656,896
  5. Step 5: Solve for x
    x = 74,361,367,961,795,240,656,896/222,652,746,014.65
  6. Step 6: Final answer
    x = 333,979,119,021.97

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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.