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Finding the Fourth Proportional to 11,742,420.80, 16,405,796.80 and 11,742,420.80

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Solution

The fourth proportional to 11,742,420.80, 16,405,796.80 and 11,742,420.80 is: 16,405,796.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742,420.80 : 16,405,796.80 = 11,742,420.80 : x
  2. Step 2: Convert to fraction form
    11,742,420.80/16,405,796.80 = 11,742,420.80/x
  3. Step 3: Cross multiply
    11,742,420.80x = 16,405,796.80 × 11,742,420.80
  4. Step 4: Simplify right side
    11,742,420.80x = 192,643,769,584,893.47
  5. Step 5: Solve for x
    x = 192,643,769,584,893.47/11,742,420.80
  6. Step 6: Final answer
    x = 16,405,796.80

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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.