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Finding the Fourth Proportional to 20,178,064,363.20, 30,267,096,544.80 and 20,178,064,363.20

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Solution

The fourth proportional to 20,178,064,363.20, 30,267,096,544.80 and 20,178,064,363.20 is: 30,267,096,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178,064,363.20 : 30,267,096,544.80 = 20,178,064,363.20 : x
  2. Step 2: Convert to fraction form
    20,178,064,363.20/30,267,096,544.80 = 20,178,064,363.20/x
  3. Step 3: Cross multiply
    20,178,064,363.20x = 30,267,096,544.80 × 20,178,064,363.20
  4. Step 4: Simplify right side
    20,178,064,363.20x = 610,731,422,168,162,762,752
  5. Step 5: Solve for x
    x = 610,731,422,168,162,762,752/20,178,064,363.20
  6. Step 6: Final answer
    x = 30,267,096,544.80

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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.