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Finding the Fourth Proportional to 337,008,002.70, 472,448,213.70 and 337,008,002.70

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Solution

The fourth proportional to 337,008,002.70, 472,448,213.70 and 337,008,002.70 is: 472,448,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,008,002.70 : 472,448,213.70 = 337,008,002.70 : x
  2. Step 2: Convert to fraction form
    337,008,002.70/472,448,213.70 = 337,008,002.70/x
  3. Step 3: Cross multiply
    337,008,002.70x = 472,448,213.70 × 337,008,002.70
  4. Step 4: Simplify right side
    337,008,002.70x = 159,218,828,878,219,776
  5. Step 5: Solve for x
    x = 159,218,828,878,219,776/337,008,002.70
  6. Step 6: Final answer
    x = 472,448,213.70

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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.