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Finding the Fourth Proportional to 149,242,302,002.35, 223,863,453,003.53 and 149,242,302,002.35

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Solution

The fourth proportional to 149,242,302,002.35, 223,863,453,003.53 and 149,242,302,002.35 is: 223,863,453,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,242,302,002.35 : 223,863,453,003.53 = 149,242,302,002.35 : x
  2. Step 2: Convert to fraction form
    149,242,302,002.35/223,863,453,003.53 = 149,242,302,002.35/x
  3. Step 3: Cross multiply
    149,242,302,002.35x = 223,863,453,003.53 × 149,242,302,002.35
  4. Step 4: Simplify right side
    149,242,302,002.35x = 33,409,897,060,441,713,016,832
  5. Step 5: Solve for x
    x = 33,409,897,060,441,713,016,832/149,242,302,002.35
  6. Step 6: Final answer
    x = 223,863,453,003.53

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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.