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Finding the Fourth Proportional to 1,168,749,406, 1,612,924,879.80 and 647,228,638

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Solution

The fourth proportional to 1,168,749,406, 1,612,924,879.80 and 647,228,638 is: 893,203,596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,749,406 : 1,612,924,879.80 = 647,228,638 : x
  2. Step 2: Convert to fraction form
    1,168,749,406/1,612,924,879.80 = 647,228,638/x
  3. Step 3: Cross multiply
    1,168,749,406x = 1,612,924,879.80 × 647,228,638
  4. Step 4: Simplify right side
    1,168,749,406x = 1,043,931,173,149,267,712
  5. Step 5: Solve for x
    x = 1,043,931,173,149,267,712/1,168,749,406
  6. Step 6: Final answer
    x = 893,203,596.76

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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.