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Finding the Fourth Proportional to 1,649,280.30, 2,473,920.45 and 1,649,280.30

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Solution

The fourth proportional to 1,649,280.30, 2,473,920.45 and 1,649,280.30 is: 2,473,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,280.30 : 2,473,920.45 = 1,649,280.30 : x
  2. Step 2: Convert to fraction form
    1,649,280.30/2,473,920.45 = 1,649,280.30/x
  3. Step 3: Cross multiply
    1,649,280.30x = 2,473,920.45 × 1,649,280.30
  4. Step 4: Simplify right side
    1,649,280.30x = 4,080,188,261,952.14
  5. Step 5: Solve for x
    x = 4,080,188,261,952.14/1,649,280.30
  6. Step 6: Final answer
    x = 2,473,920.45

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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.