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Finding the Fourth Proportional to 992,489,145.90, 1,489,052,583.45 and 665,334,066.30

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Solution

The fourth proportional to 992,489,145.90, 1,489,052,583.45 and 665,334,066.30 is: 998,214,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,489,145.90 : 1,489,052,583.45 = 665,334,066.30 : x
  2. Step 2: Convert to fraction form
    992,489,145.90/1,489,052,583.45 = 665,334,066.30/x
  3. Step 3: Cross multiply
    992,489,145.90x = 1,489,052,583.45 × 665,334,066.30
  4. Step 4: Simplify right side
    992,489,145.90x = 990,717,410,281,308,544
  5. Step 5: Solve for x
    x = 990,717,410,281,308,544/992,489,145.90
  6. Step 6: Final answer
    x = 998,214,856.43

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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.