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Finding the Fourth Proportional to 68,278,324.15, 102,417,486.23 and 68,278,324.15

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Solution

The fourth proportional to 68,278,324.15, 102,417,486.23 and 68,278,324.15 is: 102,417,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,278,324.15 : 102,417,486.23 = 68,278,324.15 : x
  2. Step 2: Convert to fraction form
    68,278,324.15/102,417,486.23 = 68,278,324.15/x
  3. Step 3: Cross multiply
    68,278,324.15x = 102,417,486.23 × 68,278,324.15
  4. Step 4: Simplify right side
    68,278,324.15x = 6,992,894,323,440,102
  5. Step 5: Solve for x
    x = 6,992,894,323,440,102/68,278,324.15
  6. Step 6: Final answer
    x = 102,417,486.23

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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.