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Finding the Fourth Proportional to 505,203,670.70, 757,805,506.05 and 505,203,670.70

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Solution

The fourth proportional to 505,203,670.70, 757,805,506.05 and 505,203,670.70 is: 757,805,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,203,670.70 : 757,805,506.05 = 505,203,670.70 : x
  2. Step 2: Convert to fraction form
    505,203,670.70/757,805,506.05 = 505,203,670.70/x
  3. Step 3: Cross multiply
    505,203,670.70x = 757,805,506.05 × 505,203,670.70
  4. Step 4: Simplify right side
    505,203,670.70x = 382,846,123,333,131,008
  5. Step 5: Solve for x
    x = 382,846,123,333,131,008/505,203,670.70
  6. Step 6: Final answer
    x = 757,805,506.05

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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.