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Finding the Fourth Proportional to 354,294,311.40, 494,864,123.40 and 354,294,311.40

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Solution

The fourth proportional to 354,294,311.40, 494,864,123.40 and 354,294,311.40 is: 494,864,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,294,311.40 : 494,864,123.40 = 354,294,311.40 : x
  2. Step 2: Convert to fraction form
    354,294,311.40/494,864,123.40 = 354,294,311.40/x
  3. Step 3: Cross multiply
    354,294,311.40x = 494,864,123.40 × 354,294,311.40
  4. Step 4: Simplify right side
    354,294,311.40x = 175,327,543,836,567,616
  5. Step 5: Solve for x
    x = 175,327,543,836,567,616/354,294,311.40
  6. Step 6: Final answer
    x = 494,864,123.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.