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Finding the Fourth Proportional to 398,250,445.80, 597,375,668.70 and 111,036,109.80

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Solution

The fourth proportional to 398,250,445.80, 597,375,668.70 and 111,036,109.80 is: 166,554,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,250,445.80 : 597,375,668.70 = 111,036,109.80 : x
  2. Step 2: Convert to fraction form
    398,250,445.80/597,375,668.70 = 111,036,109.80/x
  3. Step 3: Cross multiply
    398,250,445.80x = 597,375,668.70 × 111,036,109.80
  4. Step 4: Simplify right side
    398,250,445.80x = 66,330,270,341,621,624
  5. Step 5: Solve for x
    x = 66,330,270,341,621,624/398,250,445.80
  6. Step 6: Final answer
    x = 166,554,164.70

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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.