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Finding the Fourth Proportional to 6,317,967.08, 9,476,978.36 and 2,000,038.50

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Solution

The fourth proportional to 6,317,967.08, 9,476,978.36 and 2,000,038.50 is: 3,000,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317,967.08 : 9,476,978.36 = 2,000,038.50 : x
  2. Step 2: Convert to fraction form
    6,317,967.08/9,476,978.36 = 2,000,038.50/x
  3. Step 3: Cross multiply
    6,317,967.08x = 9,476,978.36 × 2,000,038.50
  4. Step 4: Simplify right side
    6,317,967.08x = 18,954,321,583,666.86
  5. Step 5: Solve for x
    x = 18,954,321,583,666.86/6,317,967.08
  6. Step 6: Final answer
    x = 3,000,066.53

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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.