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Finding the Fourth Proportional to 329,433,160,537.80, 494,149,740,806.70 and 329,433,160,537.80

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Solution

The fourth proportional to 329,433,160,537.80, 494,149,740,806.70 and 329,433,160,537.80 is: 494,149,740,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,433,160,537.80 : 494,149,740,806.70 = 329,433,160,537.80 : x
  2. Step 2: Convert to fraction form
    329,433,160,537.80/494,149,740,806.70 = 329,433,160,537.80/x
  3. Step 3: Cross multiply
    329,433,160,537.80x = 494,149,740,806.70 × 329,433,160,537.80
  4. Step 4: Simplify right side
    329,433,160,537.80x = 162,789,310,892,885,871,165,440
  5. Step 5: Solve for x
    x = 162,789,310,892,885,871,165,440/329,433,160,537.80
  6. Step 6: Final answer
    x = 494,149,740,806.70

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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.