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Finding the Fourth Proportional to 178,094,988,002.45, 267,142,482,003.67 and 178,094,988,002.45

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Solution

The fourth proportional to 178,094,988,002.45, 267,142,482,003.67 and 178,094,988,002.45 is: 267,142,482,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,094,988,002.45 : 267,142,482,003.67 = 178,094,988,002.45 : x
  2. Step 2: Convert to fraction form
    178,094,988,002.45/267,142,482,003.67 = 178,094,988,002.45/x
  3. Step 3: Cross multiply
    178,094,988,002.45x = 267,142,482,003.67 × 178,094,988,002.45
  4. Step 4: Simplify right side
    178,094,988,002.45x = 47,576,737,127,388,330,065,920
  5. Step 5: Solve for x
    x = 47,576,737,127,388,330,065,920/178,094,988,002.45
  6. Step 6: Final answer
    x = 267,142,482,003.67

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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.