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Finding the Fourth Proportional to 498,717,012.20, 746,374,907.10 and 498,717,012.20

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Solution

The fourth proportional to 498,717,012.20, 746,374,907.10 and 498,717,012.20 is: 746,374,907.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,717,012.20 : 746,374,907.10 = 498,717,012.20 : x
  2. Step 2: Convert to fraction form
    498,717,012.20/746,374,907.10 = 498,717,012.20/x
  3. Step 3: Cross multiply
    498,717,012.20x = 746,374,907.10 × 498,717,012.20
  4. Step 4: Simplify right side
    498,717,012.20x = 372,229,863,649,964,544
  5. Step 5: Solve for x
    x = 372,229,863,649,964,544/498,717,012.20
  6. Step 6: Final answer
    x = 746,374,907.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.