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Finding the Fourth Proportional to 335,969,127,003.35, 503,953,690,505.10 and 335,969,127,003.35

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Solution

The fourth proportional to 335,969,127,003.35, 503,953,690,505.10 and 335,969,127,003.35 is: 503,953,690,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,969,127,003.35 : 503,953,690,505.10 = 335,969,127,003.35 : x
  2. Step 2: Convert to fraction form
    335,969,127,003.35/503,953,690,505.10 = 335,969,127,003.35/x
  3. Step 3: Cross multiply
    335,969,127,003.35x = 503,953,690,505.10 × 335,969,127,003.35
  4. Step 4: Simplify right side
    335,969,127,003.35x = 169,312,881,449,114,854,752,256
  5. Step 5: Solve for x
    x = 169,312,881,449,114,854,752,256/335,969,127,003.35
  6. Step 6: Final answer
    x = 503,953,690,505.10

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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.