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Finding the Fourth Proportional to 497,665,654.90, 746,498,482.35 and 449,292,714.10

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Solution

The fourth proportional to 497,665,654.90, 746,498,482.35 and 449,292,714.10 is: 673,939,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,665,654.90 : 746,498,482.35 = 449,292,714.10 : x
  2. Step 2: Convert to fraction form
    497,665,654.90/746,498,482.35 = 449,292,714.10/x
  3. Step 3: Cross multiply
    497,665,654.90x = 746,498,482.35 × 449,292,714.10
  4. Step 4: Simplify right side
    497,665,654.90x = 335,396,329,206,562,496
  5. Step 5: Solve for x
    x = 335,396,329,206,562,496/497,665,654.90
  6. Step 6: Final answer
    x = 673,939,071.15

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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.