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Finding the Fourth Proportional to 2,671,129,807,529.20, 4,006,694,711,293.80 and 2,671,129,807,529.20

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Solution

The fourth proportional to 2,671,129,807,529.20, 4,006,694,711,293.80 and 2,671,129,807,529.20 is: 4,006,694,711,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671,129,807,529.20 : 4,006,694,711,293.80 = 2,671,129,807,529.20 : x
  2. Step 2: Convert to fraction form
    2,671,129,807,529.20/4,006,694,711,293.80 = 2,671,129,807,529.20/x
  3. Step 3: Cross multiply
    2,671,129,807,529.20x = 4,006,694,711,293.80 × 2,671,129,807,529.20
  4. Step 4: Simplify right side
    2,671,129,807,529.20x = 10,702,401,673,006,471,874,347,008
  5. Step 5: Solve for x
    x = 10,702,401,673,006,471,874,347,008/2,671,129,807,529.20
  6. Step 6: Final answer
    x = 4,006,694,711,293.80

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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.