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Finding the Fourth Proportional to 1,684,911,149.70, 2,522,831,761.35 and 1,684,911,149.70

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Solution

The fourth proportional to 1,684,911,149.70, 2,522,831,761.35 and 1,684,911,149.70 is: 2,522,831,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,911,149.70 : 2,522,831,761.35 = 1,684,911,149.70 : x
  2. Step 2: Convert to fraction form
    1,684,911,149.70/2,522,831,761.35 = 1,684,911,149.70/x
  3. Step 3: Cross multiply
    1,684,911,149.70x = 2,522,831,761.35 × 1,684,911,149.70
  4. Step 4: Simplify right side
    1,684,911,149.70x = 4,250,747,363,515,904,512
  5. Step 5: Solve for x
    x = 4,250,747,363,515,904,512/1,684,911,149.70
  6. Step 6: Final answer
    x = 2,522,831,761.35

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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.