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Finding the Fourth Proportional to 22,959,096,016.40, 34,384,224,466.20 and 22,959,096,016.40

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Solution

The fourth proportional to 22,959,096,016.40, 34,384,224,466.20 and 22,959,096,016.40 is: 34,384,224,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959,096,016.40 : 34,384,224,466.20 = 22,959,096,016.40 : x
  2. Step 2: Convert to fraction form
    22,959,096,016.40/34,384,224,466.20 = 22,959,096,016.40/x
  3. Step 3: Cross multiply
    22,959,096,016.40x = 34,384,224,466.20 × 22,959,096,016.40
  4. Step 4: Simplify right side
    22,959,096,016.40x = 789,430,710,968,935,776,256
  5. Step 5: Solve for x
    x = 789,430,710,968,935,776,256/22,959,096,016.40
  6. Step 6: Final answer
    x = 34,384,224,466.20

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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.