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Finding the Fourth Proportional to 472,392,005.20, 659,818,257.20 and 472,392,005.20

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Solution

The fourth proportional to 472,392,005.20, 659,818,257.20 and 472,392,005.20 is: 659,818,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,005.20 : 659,818,257.20 = 472,392,005.20 : x
  2. Step 2: Convert to fraction form
    472,392,005.20/659,818,257.20 = 472,392,005.20/x
  3. Step 3: Cross multiply
    472,392,005.20x = 659,818,257.20 × 472,392,005.20
  4. Step 4: Simplify right side
    472,392,005.20x = 311,692,869,586,277,376
  5. Step 5: Solve for x
    x = 311,692,869,586,277,376/472,392,005.20
  6. Step 6: Final answer
    x = 659,818,257.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.