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Finding the Fourth Proportional to 467,896,380.30, 701,844,570.45 and 431,616,674.70

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Solution

The fourth proportional to 467,896,380.30, 701,844,570.45 and 431,616,674.70 is: 647,425,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,896,380.30 : 701,844,570.45 = 431,616,674.70 : x
  2. Step 2: Convert to fraction form
    467,896,380.30/701,844,570.45 = 431,616,674.70/x
  3. Step 3: Cross multiply
    467,896,380.30x = 701,844,570.45 × 431,616,674.70
  4. Step 4: Simplify right side
    467,896,380.30x = 302,927,819,653,878,912
  5. Step 5: Solve for x
    x = 302,927,819,653,878,912/467,896,380.30
  6. Step 6: Final answer
    x = 647,425,012.05

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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.