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Finding the Fourth Proportional to 2,281,189,968,394.20, 3,421,784,952,591.40 and 2,281,189,968,394.20

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Solution

The fourth proportional to 2,281,189,968,394.20, 3,421,784,952,591.40 and 2,281,189,968,394.20 is: 3,421,784,952,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,189,968,394.20 : 3,421,784,952,591.40 = 2,281,189,968,394.20 : x
  2. Step 2: Convert to fraction form
    2,281,189,968,394.20/3,421,784,952,591.40 = 2,281,189,968,394.20/x
  3. Step 3: Cross multiply
    2,281,189,968,394.20x = 3,421,784,952,591.40 × 2,281,189,968,394.20
  4. Step 4: Simplify right side
    2,281,189,968,394.20x = 7,805,741,507,853,725,451,943,936
  5. Step 5: Solve for x
    x = 7,805,741,507,853,725,451,943,936/2,281,189,968,394.20
  6. Step 6: Final answer
    x = 3,421,784,952,591.40

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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.