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Finding the Fourth Proportional to 263,813,377,218.60, 395,720,065,827.90 and 263,813,377,218.60

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Solution

The fourth proportional to 263,813,377,218.60, 395,720,065,827.90 and 263,813,377,218.60 is: 395,720,065,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,813,377,218.60 : 395,720,065,827.90 = 263,813,377,218.60 : x
  2. Step 2: Convert to fraction form
    263,813,377,218.60/395,720,065,827.90 = 263,813,377,218.60/x
  3. Step 3: Cross multiply
    263,813,377,218.60x = 395,720,065,827.90 × 263,813,377,218.60
  4. Step 4: Simplify right side
    263,813,377,218.60x = 104,396,246,999,225,023,332,352
  5. Step 5: Solve for x
    x = 104,396,246,999,225,023,332,352/263,813,377,218.60
  6. Step 6: Final answer
    x = 395,720,065,827.90

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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.