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Finding the Fourth Proportional to 2,017,014.30, 2,830,905.90 and 2,017,014.30

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Solution

The fourth proportional to 2,017,014.30, 2,830,905.90 and 2,017,014.30 is: 2,830,905.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017,014.30 : 2,830,905.90 = 2,017,014.30 : x
  2. Step 2: Convert to fraction form
    2,017,014.30/2,830,905.90 = 2,017,014.30/x
  3. Step 3: Cross multiply
    2,017,014.30x = 2,830,905.90 × 2,017,014.30
  4. Step 4: Simplify right side
    2,017,014.30x = 5,709,977,682,254.37
  5. Step 5: Solve for x
    x = 5,709,977,682,254.37/2,017,014.30
  6. Step 6: Final answer
    x = 2,830,905.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.