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Finding the Fourth Proportional to 436,546,843.20, 654,820,264.80 and 436,546,843.20

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Solution

The fourth proportional to 436,546,843.20, 654,820,264.80 and 436,546,843.20 is: 654,820,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,546,843.20 : 654,820,264.80 = 436,546,843.20 : x
  2. Step 2: Convert to fraction form
    436,546,843.20/654,820,264.80 = 436,546,843.20/x
  3. Step 3: Cross multiply
    436,546,843.20x = 654,820,264.80 × 436,546,843.20
  4. Step 4: Simplify right side
    436,546,843.20x = 285,859,719,461,828,064
  5. Step 5: Solve for x
    x = 285,859,719,461,828,064/436,546,843.20
  6. Step 6: Final answer
    x = 654,820,264.80

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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.