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Finding the Fourth Proportional to 129,833,066,234.40, 194,749,599,351.60 and 129,833,066,234.40

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Solution

The fourth proportional to 129,833,066,234.40, 194,749,599,351.60 and 129,833,066,234.40 is: 194,749,599,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,833,066,234.40 : 194,749,599,351.60 = 129,833,066,234.40 : x
  2. Step 2: Convert to fraction form
    129,833,066,234.40/194,749,599,351.60 = 129,833,066,234.40/x
  3. Step 3: Cross multiply
    129,833,066,234.40x = 194,749,599,351.60 × 129,833,066,234.40
  4. Step 4: Simplify right side
    129,833,066,234.40x = 25,284,937,631,739,146,141,696
  5. Step 5: Solve for x
    x = 25,284,937,631,739,146,141,696/129,833,066,234.40
  6. Step 6: Final answer
    x = 194,749,599,351.60

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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.