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Finding the Fourth Proportional to 3,775,381,467,784.40, 5,663,072,201,676.40 and 3,775,381,467,784.40

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Solution

The fourth proportional to 3,775,381,467,784.40, 5,663,072,201,676.40 and 3,775,381,467,784.40 is: 5,663,072,201,676.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775,381,467,784.40 : 5,663,072,201,676.40 = 3,775,381,467,784.40 : x
  2. Step 2: Convert to fraction form
    3,775,381,467,784.40/5,663,072,201,676.40 = 3,775,381,467,784.40/x
  3. Step 3: Cross multiply
    3,775,381,467,784.40x = 5,663,072,201,676.40 × 3,775,381,467,784.40
  4. Step 4: Simplify right side
    3,775,381,467,784.40x = 21,380,257,840,934,080,741,376,000
  5. Step 5: Solve for x
    x = 21,380,257,840,934,080,741,376,000/3,775,381,467,784.40
  6. Step 6: Final answer
    x = 5,663,072,201,676.40

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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.