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Finding the Fourth Proportional to 488,447,743.80, 685,640,826.60 and 488,447,743.80

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Solution

The fourth proportional to 488,447,743.80, 685,640,826.60 and 488,447,743.80 is: 685,640,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,447,743.80 : 685,640,826.60 = 488,447,743.80 : x
  2. Step 2: Convert to fraction form
    488,447,743.80/685,640,826.60 = 488,447,743.80/x
  3. Step 3: Cross multiply
    488,447,743.80x = 685,640,826.60 × 488,447,743.80
  4. Step 4: Simplify right side
    488,447,743.80x = 334,899,714,809,937,024
  5. Step 5: Solve for x
    x = 334,899,714,809,937,024/488,447,743.80
  6. Step 6: Final answer
    x = 685,640,826.60

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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.