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Finding the Fourth Proportional to 1,093,578,509.80, 1,640,367,764.70 and 327,673,613.80

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Solution

The fourth proportional to 1,093,578,509.80, 1,640,367,764.70 and 327,673,613.80 is: 491,510,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093,578,509.80 : 1,640,367,764.70 = 327,673,613.80 : x
  2. Step 2: Convert to fraction form
    1,093,578,509.80/1,640,367,764.70 = 327,673,613.80/x
  3. Step 3: Cross multiply
    1,093,578,509.80x = 1,640,367,764.70 × 327,673,613.80
  4. Step 4: Simplify right side
    1,093,578,509.80x = 537,505,233,420,277,120
  5. Step 5: Solve for x
    x = 537,505,233,420,277,120/1,093,578,509.80
  6. Step 6: Final answer
    x = 491,510,420.70

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Double scale
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1.5x scale

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.