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Finding the Fourth Proportional to 463,615,375.80, 695,423,063.70 and 456,449,014.20

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Solution

The fourth proportional to 463,615,375.80, 695,423,063.70 and 456,449,014.20 is: 684,673,521.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,615,375.80 : 695,423,063.70 = 456,449,014.20 : x
  2. Step 2: Convert to fraction form
    463,615,375.80/695,423,063.70 = 456,449,014.20/x
  3. Step 3: Cross multiply
    463,615,375.80x = 695,423,063.70 × 456,449,014.20
  4. Step 4: Simplify right side
    463,615,375.80x = 317,425,171,877,808,832
  5. Step 5: Solve for x
    x = 317,425,171,877,808,832/463,615,375.80
  6. Step 6: Final answer
    x = 684,673,521.30

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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.