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Finding the Fourth Proportional to 224,202,006.30, 336,303,009.45 and 224,202,006.30

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Solution

The fourth proportional to 224,202,006.30, 336,303,009.45 and 224,202,006.30 is: 336,303,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,202,006.30 : 336,303,009.45 = 224,202,006.30 : x
  2. Step 2: Convert to fraction form
    224,202,006.30/336,303,009.45 = 224,202,006.30/x
  3. Step 3: Cross multiply
    224,202,006.30x = 336,303,009.45 × 224,202,006.30
  4. Step 4: Simplify right side
    224,202,006.30x = 75,399,809,443,417,856
  5. Step 5: Solve for x
    x = 75,399,809,443,417,856/224,202,006.30
  6. Step 6: Final answer
    x = 336,303,009.45

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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.