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Finding the Fourth Proportional to 206,595,312.30, 309,892,968.45 and 206,595,312.30

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Solution

The fourth proportional to 206,595,312.30, 309,892,968.45 and 206,595,312.30 is: 309,892,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,595,312.30 : 309,892,968.45 = 206,595,312.30 : x
  2. Step 2: Convert to fraction form
    206,595,312.30/309,892,968.45 = 206,595,312.30/x
  3. Step 3: Cross multiply
    206,595,312.30x = 309,892,968.45 × 206,595,312.30
  4. Step 4: Simplify right side
    206,595,312.30x = 64,022,434,596,501,800
  5. Step 5: Solve for x
    x = 64,022,434,596,501,800/206,595,312.30
  6. Step 6: Final answer
    x = 309,892,968.45

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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.