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Finding the Fourth Proportional to 6,524,069,139.90, 9,786,103,709.85 and 6,524,069,139.90

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Solution

The fourth proportional to 6,524,069,139.90, 9,786,103,709.85 and 6,524,069,139.90 is: 9,786,103,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524,069,139.90 : 9,786,103,709.85 = 6,524,069,139.90 : x
  2. Step 2: Convert to fraction form
    6,524,069,139.90/9,786,103,709.85 = 6,524,069,139.90/x
  3. Step 3: Cross multiply
    6,524,069,139.90x = 9,786,103,709.85 × 6,524,069,139.90
  4. Step 4: Simplify right side
    6,524,069,139.90x = 63,845,217,213,293,289,472
  5. Step 5: Solve for x
    x = 63,845,217,213,293,289,472/6,524,069,139.90
  6. Step 6: Final answer
    x = 9,786,103,709.85

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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.