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Finding the Fourth Proportional to 310,847,168.70, 435,823,046.10 and 310,847,168.70

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Solution

The fourth proportional to 310,847,168.70, 435,823,046.10 and 310,847,168.70 is: 435,823,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,847,168.70 : 435,823,046.10 = 310,847,168.70 : x
  2. Step 2: Convert to fraction form
    310,847,168.70/435,823,046.10 = 310,847,168.70/x
  3. Step 3: Cross multiply
    310,847,168.70x = 435,823,046.10 × 310,847,168.70
  4. Step 4: Simplify right side
    310,847,168.70x = 135,474,359,934,394,576
  5. Step 5: Solve for x
    x = 135,474,359,934,394,576/310,847,168.70
  6. Step 6: Final answer
    x = 435,823,046.10

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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.