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Finding the Fourth Proportional to 103,429,372,529.23, 155,144,058,793.85 and 103,429,372,529.23

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Solution

The fourth proportional to 103,429,372,529.23, 155,144,058,793.85 and 103,429,372,529.23 is: 155,144,058,793.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,429,372,529.23 : 155,144,058,793.85 = 103,429,372,529.23 : x
  2. Step 2: Convert to fraction form
    103,429,372,529.23/155,144,058,793.85 = 103,429,372,529.23/x
  3. Step 3: Cross multiply
    103,429,372,529.23x = 155,144,058,793.85 × 103,429,372,529.23
  4. Step 4: Simplify right side
    103,429,372,529.23x = 16,046,452,652,685,874,167,808
  5. Step 5: Solve for x
    x = 16,046,452,652,685,874,167,808/103,429,372,529.23
  6. Step 6: Final answer
    x = 155,144,058,793.85

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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.