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Finding the Fourth Proportional to 264,224,596,359.82, 396,336,894,539.73 and 264,224,596,359.82

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Solution

The fourth proportional to 264,224,596,359.82, 396,336,894,539.73 and 264,224,596,359.82 is: 396,336,894,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,596,359.82 : 396,336,894,539.73 = 264,224,596,359.82 : x
  2. Step 2: Convert to fraction form
    264,224,596,359.82/396,336,894,539.73 = 264,224,596,359.82/x
  3. Step 3: Cross multiply
    264,224,596,359.82x = 396,336,894,539.73 × 264,224,596,359.82
  4. Step 4: Simplify right side
    264,224,596,359.82x = 104,721,955,982,264,705,744,896
  5. Step 5: Solve for x
    x = 104,721,955,982,264,705,744,896/264,224,596,359.82
  6. Step 6: Final answer
    x = 396,336,894,539.73

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1.5x scale

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.