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Finding the Fourth Proportional to 488,448,031.80, 685,641,229.80 and 488,448,031.80

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Solution

The fourth proportional to 488,448,031.80, 685,641,229.80 and 488,448,031.80 is: 685,641,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,448,031.80 : 685,641,229.80 = 488,448,031.80 : x
  2. Step 2: Convert to fraction form
    488,448,031.80/685,641,229.80 = 488,448,031.80/x
  3. Step 3: Cross multiply
    488,448,031.80x = 685,641,229.80 × 488,448,031.80
  4. Step 4: Simplify right side
    488,448,031.80x = 334,900,109,216,741,504
  5. Step 5: Solve for x
    x = 334,900,109,216,741,504/488,448,031.80
  6. Step 6: Final answer
    x = 685,641,229.80

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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.