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Finding the Fourth Proportional to 264,034,632,713.20, 396,051,949,069.83 and 264,034,632,713.20

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Solution

The fourth proportional to 264,034,632,713.20, 396,051,949,069.83 and 264,034,632,713.20 is: 396,051,949,069.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,034,632,713.20 : 396,051,949,069.83 = 264,034,632,713.20 : x
  2. Step 2: Convert to fraction form
    264,034,632,713.20/396,051,949,069.83 = 264,034,632,713.20/x
  3. Step 3: Cross multiply
    264,034,632,713.20x = 396,051,949,069.83 × 264,034,632,713.20
  4. Step 4: Simplify right side
    264,034,632,713.20x = 104,571,430,907,999,565,119,488
  5. Step 5: Solve for x
    x = 104,571,430,907,999,565,119,488/264,034,632,713.20
  6. Step 6: Final answer
    x = 396,051,949,069.83

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Double scale
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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.