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Finding the Fourth Proportional to 755,065,677, 1,042,023,108.76 and 420,538,348.20

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Solution

The fourth proportional to 755,065,677, 1,042,023,108.76 and 420,538,348.20 is: 580,361,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,065,677 : 1,042,023,108.76 = 420,538,348.20 : x
  2. Step 2: Convert to fraction form
    755,065,677/1,042,023,108.76 = 420,538,348.20/x
  3. Step 3: Cross multiply
    755,065,677x = 1,042,023,108.76 × 420,538,348.20
  4. Step 4: Simplify right side
    755,065,677x = 438,210,676,944,159,360
  5. Step 5: Solve for x
    x = 438,210,676,944,159,360/755,065,677
  6. Step 6: Final answer
    x = 580,361,007.38

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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.