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Finding the Fourth Proportional to 465,129,217,404.20, 697,693,826,106.30 and 465,129,217,404.20

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Solution

The fourth proportional to 465,129,217,404.20, 697,693,826,106.30 and 465,129,217,404.20 is: 697,693,826,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,129,217,404.20 : 697,693,826,106.30 = 465,129,217,404.20 : x
  2. Step 2: Convert to fraction form
    465,129,217,404.20/697,693,826,106.30 = 465,129,217,404.20/x
  3. Step 3: Cross multiply
    465,129,217,404.20x = 697,693,826,106.30 × 465,129,217,404.20
  4. Step 4: Simplify right side
    465,129,217,404.20x = 324,517,783,324,565,333,606,400
  5. Step 5: Solve for x
    x = 324,517,783,324,565,333,606,400/465,129,217,404.20
  6. Step 6: Final answer
    x = 697,693,826,106.30

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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.