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Finding the Fourth Proportional to 1,600,681,600.98, 2,401,143,494.75 and 495,398,248.49

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Solution

The fourth proportional to 1,600,681,600.98, 2,401,143,494.75 and 495,398,248.49 is: 743,134,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,681,600.98 : 2,401,143,494.75 = 495,398,248.49 : x
  2. Step 2: Convert to fraction form
    1,600,681,600.98/2,401,143,494.75 = 495,398,248.49/x
  3. Step 3: Cross multiply
    1,600,681,600.98x = 2,401,143,494.75 × 495,398,248.49
  4. Step 4: Simplify right side
    1,600,681,600.98x = 1,189,522,281,677,715,712
  5. Step 5: Solve for x
    x = 1,189,522,281,677,715,712/1,600,681,600.98
  6. Step 6: Final answer
    x = 743,134,850.15

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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.