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Finding the Fourth Proportional to 465,129,217,400.70, 697,693,826,101.05 and 465,129,217,400.70

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Solution

The fourth proportional to 465,129,217,400.70, 697,693,826,101.05 and 465,129,217,400.70 is: 697,693,826,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,129,217,400.70 : 697,693,826,101.05 = 465,129,217,400.70 : x
  2. Step 2: Convert to fraction form
    465,129,217,400.70/697,693,826,101.05 = 465,129,217,400.70/x
  3. Step 3: Cross multiply
    465,129,217,400.70x = 697,693,826,101.05 × 465,129,217,400.70
  4. Step 4: Simplify right side
    465,129,217,400.70x = 324,517,783,319,681,486,028,800
  5. Step 5: Solve for x
    x = 324,517,783,319,681,486,028,800/465,129,217,400.70
  6. Step 6: Final answer
    x = 697,693,826,101.05

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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.