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Finding the Fourth Proportional to 2,053,644,806.65, 3,080,467,209.98 and 2,053,644,806.65

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Solution

The fourth proportional to 2,053,644,806.65, 3,080,467,209.98 and 2,053,644,806.65 is: 3,080,467,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,644,806.65 : 3,080,467,209.98 = 2,053,644,806.65 : x
  2. Step 2: Convert to fraction form
    2,053,644,806.65/3,080,467,209.98 = 2,053,644,806.65/x
  3. Step 3: Cross multiply
    2,053,644,806.65x = 3,080,467,209.98 × 2,053,644,806.65
  4. Step 4: Simplify right side
    2,053,644,806.65x = 6,326,185,487,831,042,048
  5. Step 5: Solve for x
    x = 6,326,185,487,831,042,048/2,053,644,806.65
  6. Step 6: Final answer
    x = 3,080,467,209.98

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Double scale
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Similar ratio
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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.