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Finding the Fourth Proportional to 68,278,322.65, 102,417,483.98 and 68,278,322.65

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Solution

The fourth proportional to 68,278,322.65, 102,417,483.98 and 68,278,322.65 is: 102,417,483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,278,322.65 : 102,417,483.98 = 68,278,322.65 : x
  2. Step 2: Convert to fraction form
    68,278,322.65/102,417,483.98 = 68,278,322.65/x
  3. Step 3: Cross multiply
    68,278,322.65x = 102,417,483.98 × 68,278,322.65
  4. Step 4: Simplify right side
    68,278,322.65x = 6,992,894,016,187,647
  5. Step 5: Solve for x
    x = 6,992,894,016,187,647/68,278,322.65
  6. Step 6: Final answer
    x = 102,417,483.98

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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.