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Finding the Fourth Proportional to 922,458,532.32, 1,271,838,045.92 and 769,914,039.38

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Solution

The fourth proportional to 922,458,532.32, 1,271,838,045.92 and 769,914,039.38 is: 1,061,517,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,458,532.32 : 1,271,838,045.92 = 769,914,039.38 : x
  2. Step 2: Convert to fraction form
    922,458,532.32/1,271,838,045.92 = 769,914,039.38/x
  3. Step 3: Cross multiply
    922,458,532.32x = 1,271,838,045.92 × 769,914,039.38
  4. Step 4: Simplify right side
    922,458,532.32x = 979,205,967,361,224,320
  5. Step 5: Solve for x
    x = 979,205,967,361,224,320/922,458,532.32
  6. Step 6: Final answer
    x = 1,061,517,600.04

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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.