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Finding the Fourth Proportional to 921,378,546.90, 1,264,734,241.61 and 814,617,954.90

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Solution

The fourth proportional to 921,378,546.90, 1,264,734,241.61 and 814,617,954.90 is: 1,118,188,853.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,378,546.90 : 1,264,734,241.61 = 814,617,954.90 : x
  2. Step 2: Convert to fraction form
    921,378,546.90/1,264,734,241.61 = 814,617,954.90/x
  3. Step 3: Cross multiply
    921,378,546.90x = 1,264,734,241.61 × 814,617,954.90
  4. Step 4: Simplify right side
    921,378,546.90x = 1,030,275,221,388,267,520
  5. Step 5: Solve for x
    x = 1,030,275,221,388,267,520/921,378,546.90
  6. Step 6: Final answer
    x = 1,118,188,853.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.