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Finding the Fourth Proportional to 579,217,782,000.20, 868,826,673,000.30 and 579,217,782,000.20

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Solution

The fourth proportional to 579,217,782,000.20, 868,826,673,000.30 and 579,217,782,000.20 is: 868,826,673,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,217,782,000.20 : 868,826,673,000.30 = 579,217,782,000.20 : x
  2. Step 2: Convert to fraction form
    579,217,782,000.20/868,826,673,000.30 = 579,217,782,000.20/x
  3. Step 3: Cross multiply
    579,217,782,000.20x = 868,826,673,000.30 × 579,217,782,000.20
  4. Step 4: Simplify right side
    579,217,782,000.20x = 503,239,858,477,846,786,736,128
  5. Step 5: Solve for x
    x = 503,239,858,477,846,786,736,128/579,217,782,000.20
  6. Step 6: Final answer
    x = 868,826,673,000.30

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