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Finding the Fourth Proportional to 488,447,677.80, 685,640,734.20 and 488,447,677.80

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Solution

The fourth proportional to 488,447,677.80, 685,640,734.20 and 488,447,677.80 is: 685,640,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,447,677.80 : 685,640,734.20 = 488,447,677.80 : x
  2. Step 2: Convert to fraction form
    488,447,677.80/685,640,734.20 = 488,447,677.80/x
  3. Step 3: Cross multiply
    488,447,677.80x = 685,640,734.20 × 488,447,677.80
  4. Step 4: Simplify right side
    488,447,677.80x = 334,899,624,425,077,056
  5. Step 5: Solve for x
    x = 334,899,624,425,077,056/488,447,677.80
  6. Step 6: Final answer
    x = 685,640,734.20

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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.