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Finding the Fourth Proportional to 96,669,176,866.20, 145,003,765,299.30 and 96,669,176,866.20

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Solution

The fourth proportional to 96,669,176,866.20, 145,003,765,299.30 and 96,669,176,866.20 is: 145,003,765,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,669,176,866.20 : 145,003,765,299.30 = 96,669,176,866.20 : x
  2. Step 2: Convert to fraction form
    96,669,176,866.20/145,003,765,299.30 = 96,669,176,866.20/x
  3. Step 3: Cross multiply
    96,669,176,866.20x = 145,003,765,299.30 × 96,669,176,866.20
  4. Step 4: Simplify right side
    96,669,176,866.20x = 14,017,394,633,982,984,847,360
  5. Step 5: Solve for x
    x = 14,017,394,633,982,984,847,360/96,669,176,866.20
  6. Step 6: Final answer
    x = 145,003,765,299.30

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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.