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Finding the Fourth Proportional to 209,952,405.80, 314,928,608.70 and 175,940,181.80

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Solution

The fourth proportional to 209,952,405.80, 314,928,608.70 and 175,940,181.80 is: 263,910,272.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,405.80 : 314,928,608.70 = 175,940,181.80 : x
  2. Step 2: Convert to fraction form
    209,952,405.80/314,928,608.70 = 175,940,181.80/x
  3. Step 3: Cross multiply
    209,952,405.80x = 314,928,608.70 × 175,940,181.80
  4. Step 4: Simplify right side
    209,952,405.80x = 55,408,596,668,699,064
  5. Step 5: Solve for x
    x = 55,408,596,668,699,064/209,952,405.80
  6. Step 6: Final answer
    x = 263,910,272.70

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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.