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Finding the Fourth Proportional to 4,114,563.90, 5,746,217.70 and 4,114,563.90

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Solution

The fourth proportional to 4,114,563.90, 5,746,217.70 and 4,114,563.90 is: 5,746,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114,563.90 : 5,746,217.70 = 4,114,563.90 : x
  2. Step 2: Convert to fraction form
    4,114,563.90/5,746,217.70 = 4,114,563.90/x
  3. Step 3: Cross multiply
    4,114,563.90x = 5,746,217.70 × 4,114,563.90
  4. Step 4: Simplify right side
    4,114,563.90x = 23,643,179,909,961.03
  5. Step 5: Solve for x
    x = 23,643,179,909,961.03/4,114,563.90
  6. Step 6: Final answer
    x = 5,746,217.70

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