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Finding the Fourth Proportional to 2,021,993,842.70, 3,032,990,764.06 and 2,021,993,842.70

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Solution

The fourth proportional to 2,021,993,842.70, 3,032,990,764.06 and 2,021,993,842.70 is: 3,032,990,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,993,842.70 : 3,032,990,764.06 = 2,021,993,842.70 : x
  2. Step 2: Convert to fraction form
    2,021,993,842.70/3,032,990,764.06 = 2,021,993,842.70/x
  3. Step 3: Cross multiply
    2,021,993,842.70x = 3,032,990,764.06 × 2,021,993,842.70
  4. Step 4: Simplify right side
    2,021,993,842.70x = 6,132,688,649,895,288,832
  5. Step 5: Solve for x
    x = 6,132,688,649,895,288,832/2,021,993,842.70
  6. Step 6: Final answer
    x = 3,032,990,764.06

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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.