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Finding the Fourth Proportional to 864,564,591.92, 1,193,007,583.40 and 488,198,368.40

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Solution

The fourth proportional to 864,564,591.92, 1,193,007,583.40 and 488,198,368.40 is: 673,662,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,564,591.92 : 1,193,007,583.40 = 488,198,368.40 : x
  2. Step 2: Convert to fraction form
    864,564,591.92/1,193,007,583.40 = 488,198,368.40/x
  3. Step 3: Cross multiply
    864,564,591.92x = 1,193,007,583.40 × 488,198,368.40
  4. Step 4: Simplify right side
    864,564,591.92x = 582,424,355,704,706,944
  5. Step 5: Solve for x
    x = 582,424,355,704,706,944/864,564,591.92
  6. Step 6: Final answer
    x = 673,662,050.41

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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.