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Finding the Fourth Proportional to 264,224,592,004.76, 396,336,888,007.14 and 264,224,592,004.76

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Solution

The fourth proportional to 264,224,592,004.76, 396,336,888,007.14 and 264,224,592,004.76 is: 396,336,888,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,224,592,004.76 : 396,336,888,007.14 = 264,224,592,004.76 : x
  2. Step 2: Convert to fraction form
    264,224,592,004.76/396,336,888,007.14 = 264,224,592,004.76/x
  3. Step 3: Cross multiply
    264,224,592,004.76x = 396,336,888,007.14 × 264,224,592,004.76
  4. Step 4: Simplify right side
    264,224,592,004.76x = 104,721,952,530,122,833,657,856
  5. Step 5: Solve for x
    x = 104,721,952,530,122,833,657,856/264,224,592,004.76
  6. Step 6: Final answer
    x = 396,336,888,007.14

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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.