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Finding the Fourth Proportional to 802,494,663.60, 1,203,741,995.40 and 802,494,663.60

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Solution

The fourth proportional to 802,494,663.60, 1,203,741,995.40 and 802,494,663.60 is: 1,203,741,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,494,663.60 : 1,203,741,995.40 = 802,494,663.60 : x
  2. Step 2: Convert to fraction form
    802,494,663.60/1,203,741,995.40 = 802,494,663.60/x
  3. Step 3: Cross multiply
    802,494,663.60x = 1,203,741,995.40 × 802,494,663.60
  4. Step 4: Simplify right side
    802,494,663.60x = 965,996,527,659,715,840
  5. Step 5: Solve for x
    x = 965,996,527,659,715,840/802,494,663.60
  6. Step 6: Final answer
    x = 1,203,741,995.40

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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.