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Finding the Fourth Proportional to 233,093,138.40, 348,967,861.20 and 233,093,138.40

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Solution

The fourth proportional to 233,093,138.40, 348,967,861.20 and 233,093,138.40 is: 348,967,861.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,093,138.40 : 348,967,861.20 = 233,093,138.40 : x
  2. Step 2: Convert to fraction form
    233,093,138.40/348,967,861.20 = 233,093,138.40/x
  3. Step 3: Cross multiply
    233,093,138.40x = 348,967,861.20 × 233,093,138.40
  4. Step 4: Simplify right side
    233,093,138.40x = 81,342,013,967,843,584
  5. Step 5: Solve for x
    x = 81,342,013,967,843,584/233,093,138.40
  6. Step 6: Final answer
    x = 348,967,861.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.