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Finding the Fourth Proportional to 11,446,281,640.80, 17,169,422,461.20 and 11,446,281,640.80

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Solution

The fourth proportional to 11,446,281,640.80, 17,169,422,461.20 and 11,446,281,640.80 is: 17,169,422,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446,281,640.80 : 17,169,422,461.20 = 11,446,281,640.80 : x
  2. Step 2: Convert to fraction form
    11,446,281,640.80/17,169,422,461.20 = 11,446,281,640.80/x
  3. Step 3: Cross multiply
    11,446,281,640.80x = 17,169,422,461.20 × 11,446,281,640.80
  4. Step 4: Simplify right side
    11,446,281,640.80x = 196,526,045,100,772,720,640
  5. Step 5: Solve for x
    x = 196,526,045,100,772,720,640/11,446,281,640.80
  6. Step 6: Final answer
    x = 17,169,422,461.20

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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.