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Finding the Fourth Proportional to 310,930,394,462.70, 466,395,591,694.05 and 310,930,394,462.70

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Solution

The fourth proportional to 310,930,394,462.70, 466,395,591,694.05 and 310,930,394,462.70 is: 466,395,591,694.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,930,394,462.70 : 466,395,591,694.05 = 310,930,394,462.70 : x
  2. Step 2: Convert to fraction form
    310,930,394,462.70/466,395,591,694.05 = 310,930,394,462.70/x
  3. Step 3: Cross multiply
    310,930,394,462.70x = 466,395,591,694.05 × 310,930,394,462.70
  4. Step 4: Simplify right side
    310,930,394,462.70x = 145,016,565,301,095,344,111,616
  5. Step 5: Solve for x
    x = 145,016,565,301,095,344,111,616/310,930,394,462.70
  6. Step 6: Final answer
    x = 466,395,591,694.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.