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Finding the Fourth Proportional to 6,776,691,405.60, 10,165,037,108.40 and 6,776,691,405.60

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Solution

The fourth proportional to 6,776,691,405.60, 10,165,037,108.40 and 6,776,691,405.60 is: 10,165,037,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776,691,405.60 : 10,165,037,108.40 = 6,776,691,405.60 : x
  2. Step 2: Convert to fraction form
    6,776,691,405.60/10,165,037,108.40 = 6,776,691,405.60/x
  3. Step 3: Cross multiply
    6,776,691,405.60x = 10,165,037,108.40 × 6,776,691,405.60
  4. Step 4: Simplify right side
    6,776,691,405.60x = 68,885,319,610,099,359,744
  5. Step 5: Solve for x
    x = 68,885,319,610,099,359,744/6,776,691,405.60
  6. Step 6: Final answer
    x = 10,165,037,108.40

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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.