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Finding the Fourth Proportional to 505,511,892.30, 708,672,164.10 and 505,511,892.30

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Solution

The fourth proportional to 505,511,892.30, 708,672,164.10 and 505,511,892.30 is: 708,672,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,511,892.30 : 708,672,164.10 = 505,511,892.30 : x
  2. Step 2: Convert to fraction form
    505,511,892.30/708,672,164.10 = 505,511,892.30/x
  3. Step 3: Cross multiply
    505,511,892.30x = 708,672,164.10 × 505,511,892.30
  4. Step 4: Simplify right side
    505,511,892.30x = 358,242,206,694,527,168
  5. Step 5: Solve for x
    x = 358,242,206,694,527,168/505,511,892.30
  6. Step 6: Final answer
    x = 708,672,164.10

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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.