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Finding the Fourth Proportional to 864,054,877.38, 1,192,015,749.87 and 506,640,219.54

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Solution

The fourth proportional to 864,054,877.38, 1,192,015,749.87 and 506,640,219.54 is: 698,940,700.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,054,877.38 : 1,192,015,749.87 = 506,640,219.54 : x
  2. Step 2: Convert to fraction form
    864,054,877.38/1,192,015,749.87 = 506,640,219.54/x
  3. Step 3: Cross multiply
    864,054,877.38x = 1,192,015,749.87 × 506,640,219.54
  4. Step 4: Simplify right side
    864,054,877.38x = 603,923,121,209,274,496
  5. Step 5: Solve for x
    x = 603,923,121,209,274,496/864,054,877.38
  6. Step 6: Final answer
    x = 698,940,700.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.