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Finding the Fourth Proportional to 436,422,232.80, 654,633,349.20 and 436,422,232.80

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Solution

The fourth proportional to 436,422,232.80, 654,633,349.20 and 436,422,232.80 is: 654,633,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,422,232.80 : 654,633,349.20 = 436,422,232.80 : x
  2. Step 2: Convert to fraction form
    436,422,232.80/654,633,349.20 = 436,422,232.80/x
  3. Step 3: Cross multiply
    436,422,232.80x = 654,633,349.20 × 436,422,232.80
  4. Step 4: Simplify right side
    436,422,232.80x = 285,696,547,923,206,112
  5. Step 5: Solve for x
    x = 285,696,547,923,206,112/436,422,232.80
  6. Step 6: Final answer
    x = 654,633,349.20

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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.