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Finding the Fourth Proportional to 1,059,179,906.64, 1,589,127,405.75 and 468,888,721.32

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Solution

The fourth proportional to 1,059,179,906.64, 1,589,127,405.75 and 468,888,721.32 is: 703,491,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,179,906.64 : 1,589,127,405.75 = 468,888,721.32 : x
  2. Step 2: Convert to fraction form
    1,059,179,906.64/1,589,127,405.75 = 468,888,721.32/x
  3. Step 3: Cross multiply
    1,059,179,906.64x = 1,589,127,405.75 × 468,888,721.32
  4. Step 4: Simplify right side
    1,059,179,906.64x = 745,123,917,296,686,336
  5. Step 5: Solve for x
    x = 745,123,917,296,686,336/1,059,179,906.64
  6. Step 6: Final answer
    x = 703,491,364.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.