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Finding the Fourth Proportional to 470,497,471.80, 705,746,207.70 and 449,334,310.20

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Solution

The fourth proportional to 470,497,471.80, 705,746,207.70 and 449,334,310.20 is: 674,001,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,497,471.80 : 705,746,207.70 = 449,334,310.20 : x
  2. Step 2: Convert to fraction form
    470,497,471.80/705,746,207.70 = 449,334,310.20/x
  3. Step 3: Cross multiply
    470,497,471.80x = 705,746,207.70 × 449,334,310.20
  4. Step 4: Simplify right side
    470,497,471.80x = 317,115,985,413,145,472
  5. Step 5: Solve for x
    x = 317,115,985,413,145,472/470,497,471.80
  6. Step 6: Final answer
    x = 674,001,465.30

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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.