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Finding the Fourth Proportional to 2,072,771,318.10, 3,109,156,977.16 and 2,072,771,318.10

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Solution

The fourth proportional to 2,072,771,318.10, 3,109,156,977.16 and 2,072,771,318.10 is: 3,109,156,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,771,318.10 : 3,109,156,977.16 = 2,072,771,318.10 : x
  2. Step 2: Convert to fraction form
    2,072,771,318.10/3,109,156,977.16 = 2,072,771,318.10/x
  3. Step 3: Cross multiply
    2,072,771,318.10x = 3,109,156,977.16 × 2,072,771,318.10
  4. Step 4: Simplify right side
    2,072,771,318.10x = 6,444,571,405,727,744,000
  5. Step 5: Solve for x
    x = 6,444,571,405,727,744,000/2,072,771,318.10
  6. Step 6: Final answer
    x = 3,109,156,977.16

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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.