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Finding the Fourth Proportional to 4,664,687.14, 6,997,030.68 and 4,664,687.14

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Solution

The fourth proportional to 4,664,687.14, 6,997,030.68 and 4,664,687.14 is: 6,997,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,664,687.14 : 6,997,030.68 = 4,664,687.14 : x
  2. Step 2: Convert to fraction form
    4,664,687.14/6,997,030.68 = 4,664,687.14/x
  3. Step 3: Cross multiply
    4,664,687.14x = 6,997,030.68 × 4,664,687.14
  4. Step 4: Simplify right side
    4,664,687.14x = 32,638,959,031,181.45
  5. Step 5: Solve for x
    x = 32,638,959,031,181.45/4,664,687.14
  6. Step 6: Final answer
    x = 6,997,030.68

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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.