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Finding the Fourth Proportional to 2,990,568,175.65, 4,485,852,263.49 and 2,990,568,175.65

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Solution

The fourth proportional to 2,990,568,175.65, 4,485,852,263.49 and 2,990,568,175.65 is: 4,485,852,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990,568,175.65 : 4,485,852,263.49 = 2,990,568,175.65 : x
  2. Step 2: Convert to fraction form
    2,990,568,175.65/4,485,852,263.49 = 2,990,568,175.65/x
  3. Step 3: Cross multiply
    2,990,568,175.65x = 4,485,852,263.49 × 2,990,568,175.65
  4. Step 4: Simplify right side
    2,990,568,175.65x = 13,415,247,019,860,711,424
  5. Step 5: Solve for x
    x = 13,415,247,019,860,711,424/2,990,568,175.65
  6. Step 6: Final answer
    x = 4,485,852,263.49

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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.