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Finding the Fourth Proportional to 855,493,702.14, 1,180,550,763 and 484,207,761.90

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Solution

The fourth proportional to 855,493,702.14, 1,180,550,763 and 484,207,761.90 is: 668,189,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,493,702.14 : 1,180,550,763 = 484,207,761.90 : x
  2. Step 2: Convert to fraction form
    855,493,702.14/1,180,550,763 = 484,207,761.90/x
  3. Step 3: Cross multiply
    855,493,702.14x = 1,180,550,763 × 484,207,761.90
  4. Step 4: Simplify right side
    855,493,702.14x = 571,631,842,761,567,296
  5. Step 5: Solve for x
    x = 571,631,842,761,567,296/855,493,702.14
  6. Step 6: Final answer
    x = 668,189,422.47

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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.