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Finding the Fourth Proportional to 335,969,126,998.60, 503,953,690,497.90 and 335,969,126,998.60

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Solution

The fourth proportional to 335,969,126,998.60, 503,953,690,497.90 and 335,969,126,998.60 is: 503,953,690,497.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,969,126,998.60 : 503,953,690,497.90 = 335,969,126,998.60 : x
  2. Step 2: Convert to fraction form
    335,969,126,998.60/503,953,690,497.90 = 335,969,126,998.60/x
  3. Step 3: Cross multiply
    335,969,126,998.60x = 503,953,690,497.90 × 335,969,126,998.60
  4. Step 4: Simplify right side
    335,969,126,998.60x = 169,312,881,444,302,109,016,064
  5. Step 5: Solve for x
    x = 169,312,881,444,302,109,016,064/335,969,126,998.60
  6. Step 6: Final answer
    x = 503,953,690,497.90

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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.