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Finding the Fourth Proportional to 497,674,671.40, 746,512,007.10 and 449,301,730.60

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Solution

The fourth proportional to 497,674,671.40, 746,512,007.10 and 449,301,730.60 is: 673,952,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,674,671.40 : 746,512,007.10 = 449,301,730.60 : x
  2. Step 2: Convert to fraction form
    497,674,671.40/746,512,007.10 = 449,301,730.60/x
  3. Step 3: Cross multiply
    497,674,671.40x = 746,512,007.10 × 449,301,730.60
  4. Step 4: Simplify right side
    497,674,671.40x = 335,409,136,703,709,504
  5. Step 5: Solve for x
    x = 335,409,136,703,709,504/497,674,671.40
  6. Step 6: Final answer
    x = 673,952,595.90

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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.