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Finding the Fourth Proportional to 49,822,643.10, 74,733,964.65 and 49,822,643.10

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Solution

The fourth proportional to 49,822,643.10, 74,733,964.65 and 49,822,643.10 is: 74,733,964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,822,643.10 : 74,733,964.65 = 49,822,643.10 : x
  2. Step 2: Convert to fraction form
    49,822,643.10/74,733,964.65 = 49,822,643.10/x
  3. Step 3: Cross multiply
    49,822,643.10x = 74,733,964.65 × 49,822,643.10
  4. Step 4: Simplify right side
    49,822,643.10x = 3,723,443,648,204,967
  5. Step 5: Solve for x
    x = 3,723,443,648,204,967/49,822,643.10
  6. Step 6: Final answer
    x = 74,733,964.65

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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.