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Finding the Fourth Proportional to 472,393,265.70, 659,820,021.90 and 472,393,265.70

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Solution

The fourth proportional to 472,393,265.70, 659,820,021.90 and 472,393,265.70 is: 659,820,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,265.70 : 659,820,021.90 = 472,393,265.70 : x
  2. Step 2: Convert to fraction form
    472,393,265.70/659,820,021.90 = 472,393,265.70/x
  3. Step 3: Cross multiply
    472,393,265.70x = 659,820,021.90 × 472,393,265.70
  4. Step 4: Simplify right side
    472,393,265.70x = 311,694,534,919,586,496
  5. Step 5: Solve for x
    x = 311,694,534,919,586,496/472,393,265.70
  6. Step 6: Final answer
    x = 659,820,021.90

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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.