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Finding the Fourth Proportional to 8,536,449.60, 11,977,933.64 and 8,536,449.60

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Solution

The fourth proportional to 8,536,449.60, 11,977,933.64 and 8,536,449.60 is: 11,977,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536,449.60 : 11,977,933.64 = 8,536,449.60 : x
  2. Step 2: Convert to fraction form
    8,536,449.60/11,977,933.64 = 8,536,449.60/x
  3. Step 3: Cross multiply
    8,536,449.60x = 11,977,933.64 × 8,536,449.60
  4. Step 4: Simplify right side
    8,536,449.60x = 102,249,026,830,004.55
  5. Step 5: Solve for x
    x = 102,249,026,830,004.55/8,536,449.60
  6. Step 6: Final answer
    x = 11,977,933.64

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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.