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Finding the Fourth Proportional to 505,505,514.30, 708,663,234.90 and 505,505,514.30

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Solution

The fourth proportional to 505,505,514.30, 708,663,234.90 and 505,505,514.30 is: 708,663,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,505,514.30 : 708,663,234.90 = 505,505,514.30 : x
  2. Step 2: Convert to fraction form
    505,505,514.30/708,663,234.90 = 505,505,514.30/x
  3. Step 3: Cross multiply
    505,505,514.30x = 708,663,234.90 × 505,505,514.30
  4. Step 4: Simplify right side
    505,505,514.30x = 358,233,173,023,626,176
  5. Step 5: Solve for x
    x = 358,233,173,023,626,176/505,505,514.30
  6. Step 6: Final answer
    x = 708,663,234.90

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