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Finding the Fourth Proportional to 2,281,189,968,305, 3,421,784,952,457.80 and 2,281,189,968,305

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Solution

The fourth proportional to 2,281,189,968,305, 3,421,784,952,457.80 and 2,281,189,968,305 is: 3,421,784,952,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,189,968,305 : 3,421,784,952,457.80 = 2,281,189,968,305 : x
  2. Step 2: Convert to fraction form
    2,281,189,968,305/3,421,784,952,457.80 = 2,281,189,968,305/x
  3. Step 3: Cross multiply
    2,281,189,968,305x = 3,421,784,952,457.80 × 2,281,189,968,305
  4. Step 4: Simplify right side
    2,281,189,968,305x = 7,805,741,507,243,733,795,471,360
  5. Step 5: Solve for x
    x = 7,805,741,507,243,733,795,471,360/2,281,189,968,305
  6. Step 6: Final answer
    x = 3,421,784,952,457.80

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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.