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Finding the Fourth Proportional to 108,876,683,008.20, 163,315,024,512.30 and 108,876,683,008.20

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Solution

The fourth proportional to 108,876,683,008.20, 163,315,024,512.30 and 108,876,683,008.20 is: 163,315,024,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,876,683,008.20 : 163,315,024,512.30 = 108,876,683,008.20 : x
  2. Step 2: Convert to fraction form
    108,876,683,008.20/163,315,024,512.30 = 108,876,683,008.20/x
  3. Step 3: Cross multiply
    108,876,683,008.20x = 163,315,024,512.30 × 108,876,683,008.20
  4. Step 4: Simplify right side
    108,876,683,008.20x = 17,781,198,154,302,098,505,728
  5. Step 5: Solve for x
    x = 17,781,198,154,302,098,505,728/108,876,683,008.20
  6. Step 6: Final answer
    x = 163,315,024,512.30

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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.