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Finding the Fourth Proportional to 68,275,905.40, 102,413,858.10 and 68,275,905.40

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Solution

The fourth proportional to 68,275,905.40, 102,413,858.10 and 68,275,905.40 is: 102,413,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,275,905.40 : 102,413,858.10 = 68,275,905.40 : x
  2. Step 2: Convert to fraction form
    68,275,905.40/102,413,858.10 = 68,275,905.40/x
  3. Step 3: Cross multiply
    68,275,905.40x = 102,413,858.10 × 68,275,905.40
  4. Step 4: Simplify right side
    68,275,905.40x = 6,992,398,887,284,624
  5. Step 5: Solve for x
    x = 6,992,398,887,284,624/68,275,905.40
  6. Step 6: Final answer
    x = 102,413,858.10

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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.