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Finding the Fourth Proportional to 19,664,158,000.20, 29,496,237,000.30 and 19,664,158,000.20

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Solution

The fourth proportional to 19,664,158,000.20, 29,496,237,000.30 and 19,664,158,000.20 is: 29,496,237,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664,158,000.20 : 29,496,237,000.30 = 19,664,158,000.20 : x
  2. Step 2: Convert to fraction form
    19,664,158,000.20/29,496,237,000.30 = 19,664,158,000.20/x
  3. Step 3: Cross multiply
    19,664,158,000.20x = 29,496,237,000.30 × 19,664,158,000.20
  4. Step 4: Simplify right side
    19,664,158,000.20x = 580,018,664,785,244,520,448
  5. Step 5: Solve for x
    x = 580,018,664,785,244,520,448/19,664,158,000.20
  6. Step 6: Final answer
    x = 29,496,237,000.30

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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.