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Finding the Fourth Proportional to 472,392,405.70, 659,818,817.90 and 472,392,405.70

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Solution

The fourth proportional to 472,392,405.70, 659,818,817.90 and 472,392,405.70 is: 659,818,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,405.70 : 659,818,817.90 = 472,392,405.70 : x
  2. Step 2: Convert to fraction form
    472,392,405.70/659,818,817.90 = 472,392,405.70/x
  3. Step 3: Cross multiply
    472,392,405.70x = 659,818,817.90 × 472,392,405.70
  4. Step 4: Simplify right side
    472,392,405.70x = 311,693,398,713,911,232
  5. Step 5: Solve for x
    x = 311,693,398,713,911,232/472,392,405.70
  6. Step 6: Final answer
    x = 659,818,817.90

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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.