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Finding the Fourth Proportional to 922,458,533.82, 1,271,838,047.99 and 769,914,040.88

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Solution

The fourth proportional to 922,458,533.82, 1,271,838,047.99 and 769,914,040.88 is: 1,061,517,602.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,458,533.82 : 1,271,838,047.99 = 769,914,040.88 : x
  2. Step 2: Convert to fraction form
    922,458,533.82/1,271,838,047.99 = 769,914,040.88/x
  3. Step 3: Cross multiply
    922,458,533.82x = 1,271,838,047.99 × 769,914,040.88
  4. Step 4: Simplify right side
    922,458,533.82x = 979,205,970,862,703,360
  5. Step 5: Solve for x
    x = 979,205,970,862,703,360/922,458,533.82
  6. Step 6: Final answer
    x = 1,061,517,602.11

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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.