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Finding the Fourth Proportional to 1,164,364,991.64, 1,606,964,589 and 662,695,749

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Solution

The fourth proportional to 1,164,364,991.64, 1,606,964,589 and 662,695,749 is: 914,600,326.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164,364,991.64 : 1,606,964,589 = 662,695,749 : x
  2. Step 2: Convert to fraction form
    1,164,364,991.64/1,606,964,589 = 662,695,749/x
  3. Step 3: Cross multiply
    1,164,364,991.64x = 1,606,964,589 × 662,695,749
  4. Step 4: Simplify right side
    1,164,364,991.64x = 1,064,928,601,923,832,192
  5. Step 5: Solve for x
    x = 1,064,928,601,923,832,192/1,164,364,991.64
  6. Step 6: Final answer
    x = 914,600,326.85

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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.