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Finding the Fourth Proportional to 2,281,189,968,398.20, 3,421,784,952,597.20 and 2,281,189,968,398.20

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Solution

The fourth proportional to 2,281,189,968,398.20, 3,421,784,952,597.20 and 2,281,189,968,398.20 is: 3,421,784,952,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,189,968,398.20 : 3,421,784,952,597.20 = 2,281,189,968,398.20 : x
  2. Step 2: Convert to fraction form
    2,281,189,968,398.20/3,421,784,952,597.20 = 2,281,189,968,398.20/x
  3. Step 3: Cross multiply
    2,281,189,968,398.20x = 3,421,784,952,597.20 × 2,281,189,968,398.20
  4. Step 4: Simplify right side
    2,281,189,968,398.20x = 7,805,741,507,880,644,159,471,616
  5. Step 5: Solve for x
    x = 7,805,741,507,880,644,159,471,616/2,281,189,968,398.20
  6. Step 6: Final answer
    x = 3,421,784,952,597.20

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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.