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Finding the Fourth Proportional to 11,765,647,529.40, 17,648,471,294.10 and 11,765,647,529.40

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Solution

The fourth proportional to 11,765,647,529.40, 17,648,471,294.10 and 11,765,647,529.40 is: 17,648,471,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765,647,529.40 : 17,648,471,294.10 = 11,765,647,529.40 : x
  2. Step 2: Convert to fraction form
    11,765,647,529.40/17,648,471,294.10 = 11,765,647,529.40/x
  3. Step 3: Cross multiply
    11,765,647,529.40x = 17,648,471,294.10 × 11,765,647,529.40
  4. Step 4: Simplify right side
    11,765,647,529.40x = 207,645,692,679,114,457,088
  5. Step 5: Solve for x
    x = 207,645,692,679,114,457,088/11,765,647,529.40
  6. Step 6: Final answer
    x = 17,648,471,294.10

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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.