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Finding the Fourth Proportional to 2,281,189,968,369.30, 3,421,784,952,553.50 and 2,281,189,968,369.30

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Solution

The fourth proportional to 2,281,189,968,369.30, 3,421,784,952,553.50 and 2,281,189,968,369.30 is: 3,421,784,952,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,189,968,369.30 : 3,421,784,952,553.50 = 2,281,189,968,369.30 : x
  2. Step 2: Convert to fraction form
    2,281,189,968,369.30/3,421,784,952,553.50 = 2,281,189,968,369.30/x
  3. Step 3: Cross multiply
    2,281,189,968,369.30x = 3,421,784,952,553.50 × 2,281,189,968,369.30
  4. Step 4: Simplify right side
    2,281,189,968,369.30x = 7,805,741,507,682,064,199,057,408
  5. Step 5: Solve for x
    x = 7,805,741,507,682,064,199,057,408/2,281,189,968,369.30
  6. Step 6: Final answer
    x = 3,421,784,952,553.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.