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Finding the Fourth Proportional to 6,650,803.84, 9,978,840.96 and 3,457,943.68

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Solution

The fourth proportional to 6,650,803.84, 9,978,840.96 and 3,457,943.68 is: 5,188,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650,803.84 : 9,978,840.96 = 3,457,943.68 : x
  2. Step 2: Convert to fraction form
    6,650,803.84/9,978,840.96 = 3,457,943.68/x
  3. Step 3: Cross multiply
    6,650,803.84x = 9,978,840.96 × 3,457,943.68
  4. Step 4: Simplify right side
    6,650,803.84x = 34,506,270,031,357.14
  5. Step 5: Solve for x
    x = 34,506,270,031,357.14/6,650,803.84
  6. Step 6: Final answer
    x = 5,188,285.64

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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.