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Finding the Fourth Proportional to 13,830,090.34, 20,745,135.51 and 13,830,090.34

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Solution

The fourth proportional to 13,830,090.34, 20,745,135.51 and 13,830,090.34 is: 20,745,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830,090.34 : 20,745,135.51 = 13,830,090.34 : x
  2. Step 2: Convert to fraction form
    13,830,090.34/20,745,135.51 = 13,830,090.34/x
  3. Step 3: Cross multiply
    13,830,090.34x = 20,745,135.51 × 13,830,090.34
  4. Step 4: Simplify right side
    13,830,090.34x = 286,907,098,166,979.19
  5. Step 5: Solve for x
    x = 286,907,098,166,979.19/13,830,090.34
  6. Step 6: Final answer
    x = 20,745,135.51

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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.