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Finding the Fourth Proportional to 129,848,776,014.45, 194,463,227,630.46 and 129,848,776,014.45

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Solution

The fourth proportional to 129,848,776,014.45, 194,463,227,630.46 and 129,848,776,014.45 is: 194,463,227,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,848,776,014.45 : 194,463,227,630.46 = 129,848,776,014.45 : x
  2. Step 2: Convert to fraction form
    129,848,776,014.45/194,463,227,630.46 = 129,848,776,014.45/x
  3. Step 3: Cross multiply
    129,848,776,014.45x = 194,463,227,630.46 × 129,848,776,014.45
  4. Step 4: Simplify right side
    129,848,776,014.45x = 25,250,812,087,634,602,491,904
  5. Step 5: Solve for x
    x = 25,250,812,087,634,602,491,904/129,848,776,014.45
  6. Step 6: Final answer
    x = 194,463,227,630.46

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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.