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Finding the Fourth Proportional to 505,511,900.55, 708,672,175.65 and 505,511,900.55

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Solution

The fourth proportional to 505,511,900.55, 708,672,175.65 and 505,511,900.55 is: 708,672,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,511,900.55 : 708,672,175.65 = 505,511,900.55 : x
  2. Step 2: Convert to fraction form
    505,511,900.55/708,672,175.65 = 505,511,900.55/x
  3. Step 3: Cross multiply
    505,511,900.55x = 708,672,175.65 × 505,511,900.55
  4. Step 4: Simplify right side
    505,511,900.55x = 358,242,218,379,734,912
  5. Step 5: Solve for x
    x = 358,242,218,379,734,912/505,511,900.55
  6. Step 6: Final answer
    x = 708,672,175.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.