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Finding the Fourth Proportional to 68,119,400.24, 102,179,100.35 and 68,119,400.24

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Solution

The fourth proportional to 68,119,400.24, 102,179,100.35 and 68,119,400.24 is: 102,179,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,119,400.24 : 102,179,100.35 = 68,119,400.24 : x
  2. Step 2: Convert to fraction form
    68,119,400.24/102,179,100.35 = 68,119,400.24/x
  3. Step 3: Cross multiply
    68,119,400.24x = 102,179,100.35 × 68,119,400.24
  4. Step 4: Simplify right side
    68,119,400.24x = 6,960,379,032,053,281
  5. Step 5: Solve for x
    x = 6,960,379,032,053,281/68,119,400.24
  6. Step 6: Final answer
    x = 102,179,100.35

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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.