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Finding the Fourth Proportional to 1,331,755,200.35, 1,867,518,380.65 and 1,331,755,200.35

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Solution

The fourth proportional to 1,331,755,200.35, 1,867,518,380.65 and 1,331,755,200.35 is: 1,867,518,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331,755,200.35 : 1,867,518,380.65 = 1,331,755,200.35 : x
  2. Step 2: Convert to fraction form
    1,331,755,200.35/1,867,518,380.65 = 1,331,755,200.35/x
  3. Step 3: Cross multiply
    1,331,755,200.35x = 1,867,518,380.65 × 1,331,755,200.35
  4. Step 4: Simplify right side
    1,331,755,200.35x = 2,487,077,315,179,848,192
  5. Step 5: Solve for x
    x = 2,487,077,315,179,848,192/1,331,755,200.35
  6. Step 6: Final answer
    x = 1,867,518,380.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.