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Finding the Fourth Proportional to 488,448,205.30, 685,641,472.70 and 488,448,205.30

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Solution

The fourth proportional to 488,448,205.30, 685,641,472.70 and 488,448,205.30 is: 685,641,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,448,205.30 : 685,641,472.70 = 488,448,205.30 : x
  2. Step 2: Convert to fraction form
    488,448,205.30/685,641,472.70 = 488,448,205.30/x
  3. Step 3: Cross multiply
    488,448,205.30x = 685,641,472.70 × 488,448,205.30
  4. Step 4: Simplify right side
    488,448,205.30x = 334,900,346,819,563,968
  5. Step 5: Solve for x
    x = 334,900,346,819,563,968/488,448,205.30
  6. Step 6: Final answer
    x = 685,641,472.70

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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.