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Finding the Fourth Proportional to 590,491,203.40, 885,736,805.10 and 437,436,195.40

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Solution

The fourth proportional to 590,491,203.40, 885,736,805.10 and 437,436,195.40 is: 656,154,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,491,203.40 : 885,736,805.10 = 437,436,195.40 : x
  2. Step 2: Convert to fraction form
    590,491,203.40/885,736,805.10 = 437,436,195.40/x
  3. Step 3: Cross multiply
    590,491,203.40x = 885,736,805.10 × 437,436,195.40
  4. Step 4: Simplify right side
    590,491,203.40x = 387,453,338,148,695,296
  5. Step 5: Solve for x
    x = 387,453,338,148,695,296/590,491,203.40
  6. Step 6: Final answer
    x = 656,154,293.10

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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.