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Finding the Fourth Proportional to 472,311,648,015.20, 708,467,472,022.80 and 472,311,648,015.20

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Solution

The fourth proportional to 472,311,648,015.20, 708,467,472,022.80 and 472,311,648,015.20 is: 708,467,472,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,311,648,015.20 : 708,467,472,022.80 = 472,311,648,015.20 : x
  2. Step 2: Convert to fraction form
    472,311,648,015.20/708,467,472,022.80 = 472,311,648,015.20/x
  3. Step 3: Cross multiply
    472,311,648,015.20x = 708,467,472,022.80 × 472,311,648,015.20
  4. Step 4: Simplify right side
    472,311,648,015.20x = 334,617,439,276,251,270,348,800
  5. Step 5: Solve for x
    x = 334,617,439,276,251,270,348,800/472,311,648,015.20
  6. Step 6: Final answer
    x = 708,467,472,022.80

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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.