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Finding the Fourth Proportional to 284,401,404.90, 425,964,378.15 and 233,383,068.90

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Solution

The fourth proportional to 284,401,404.90, 425,964,378.15 and 233,383,068.90 is: 349,551,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,401,404.90 : 425,964,378.15 = 233,383,068.90 : x
  2. Step 2: Convert to fraction form
    284,401,404.90/425,964,378.15 = 233,383,068.90/x
  3. Step 3: Cross multiply
    284,401,404.90x = 425,964,378.15 × 233,383,068.90
  4. Step 4: Simplify right side
    284,401,404.90x = 99,412,873,814,727,104
  5. Step 5: Solve for x
    x = 99,412,873,814,727,104/284,401,404.90
  6. Step 6: Final answer
    x = 349,551,275.42

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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.