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Finding the Fourth Proportional to 186,876,382.65, 280,314,573.98 and 186,876,382.65

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Solution

The fourth proportional to 186,876,382.65, 280,314,573.98 and 186,876,382.65 is: 280,314,573.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,876,382.65 : 280,314,573.98 = 186,876,382.65 : x
  2. Step 2: Convert to fraction form
    186,876,382.65/280,314,573.98 = 186,876,382.65/x
  3. Step 3: Cross multiply
    186,876,382.65x = 280,314,573.98 × 186,876,382.65
  4. Step 4: Simplify right side
    186,876,382.65x = 52,384,173,588,523,840
  5. Step 5: Solve for x
    x = 52,384,173,588,523,840/186,876,382.65
  6. Step 6: Final answer
    x = 280,314,573.98

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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.