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Finding the Fourth Proportional to 16,820,230,847.10, 25,230,346,270.65 and 16,820,230,847.10

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Solution

The fourth proportional to 16,820,230,847.10, 25,230,346,270.65 and 16,820,230,847.10 is: 25,230,346,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820,230,847.10 : 25,230,346,270.65 = 16,820,230,847.10 : x
  2. Step 2: Convert to fraction form
    16,820,230,847.10/25,230,346,270.65 = 16,820,230,847.10/x
  3. Step 3: Cross multiply
    16,820,230,847.10x = 25,230,346,270.65 × 16,820,230,847.10
  4. Step 4: Simplify right side
    16,820,230,847.10x = 424,380,248,624,601,628,672
  5. Step 5: Solve for x
    x = 424,380,248,624,601,628,672/16,820,230,847.10
  6. Step 6: Final answer
    x = 25,230,346,270.65

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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.