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Finding the Fourth Proportional to 264,224,594,000.20, 396,336,891,000.30 and 264,224,594,000.20

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Solution

The fourth proportional to 264,224,594,000.20, 396,336,891,000.30 and 264,224,594,000.20 is: 396,336,891,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,594,000.20 : 396,336,891,000.30 = 264,224,594,000.20 : x
  2. Step 2: Convert to fraction form
    264,224,594,000.20/396,336,891,000.30 = 264,224,594,000.20/x
  3. Step 3: Cross multiply
    264,224,594,000.20x = 396,336,891,000.30 × 264,224,594,000.20
  4. Step 4: Simplify right side
    264,224,594,000.20x = 104,721,954,111,855,790,129,152
  5. Step 5: Solve for x
    x = 104,721,954,111,855,790,129,152/264,224,594,000.20
  6. Step 6: Final answer
    x = 396,336,891,000.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.