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Finding the Fourth Proportional to 193,547,999.70, 290,321,999.55 and 186,978,834.90

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Solution

The fourth proportional to 193,547,999.70, 290,321,999.55 and 186,978,834.90 is: 280,468,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,547,999.70 : 290,321,999.55 = 186,978,834.90 : x
  2. Step 2: Convert to fraction form
    193,547,999.70/290,321,999.55 = 186,978,834.90/x
  3. Step 3: Cross multiply
    193,547,999.70x = 290,321,999.55 × 186,978,834.90
  4. Step 4: Simplify right side
    193,547,999.70x = 54,284,069,221,697,328
  5. Step 5: Solve for x
    x = 54,284,069,221,697,328/193,547,999.70
  6. Step 6: Final answer
    x = 280,468,252.35

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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.