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Finding the Fourth Proportional to 1,398,541,805.12, 1,929,964,449.12 and 771,994,026.56

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Solution

The fourth proportional to 1,398,541,805.12, 1,929,964,449.12 and 771,994,026.56 is: 1,065,338,927.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398,541,805.12 : 1,929,964,449.12 = 771,994,026.56 : x
  2. Step 2: Convert to fraction form
    1,398,541,805.12/1,929,964,449.12 = 771,994,026.56/x
  3. Step 3: Cross multiply
    1,398,541,805.12x = 1,929,964,449.12 × 771,994,026.56
  4. Step 4: Simplify right side
    1,398,541,805.12x = 1,489,921,026,193,800,960
  5. Step 5: Solve for x
    x = 1,489,921,026,193,800,960/1,398,541,805.12
  6. Step 6: Final answer
    x = 1,065,338,927.12

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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.