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Finding the Fourth Proportional to 335,969,127,003.70, 503,953,690,505.55 and 335,969,127,003.70

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Solution

The fourth proportional to 335,969,127,003.70, 503,953,690,505.55 and 335,969,127,003.70 is: 503,953,690,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,969,127,003.70 : 503,953,690,505.55 = 335,969,127,003.70 : x
  2. Step 2: Convert to fraction form
    335,969,127,003.70/503,953,690,505.55 = 335,969,127,003.70/x
  3. Step 3: Cross multiply
    335,969,127,003.70x = 503,953,690,505.55 × 335,969,127,003.70
  4. Step 4: Simplify right side
    335,969,127,003.70x = 169,312,881,449,442,446,671,872
  5. Step 5: Solve for x
    x = 169,312,881,449,442,446,671,872/335,969,127,003.70
  6. Step 6: Final answer
    x = 503,953,690,505.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.