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Finding the Fourth Proportional to 20,406,428.40, 30,609,642.60 and 20,406,428.40

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Solution

The fourth proportional to 20,406,428.40, 30,609,642.60 and 20,406,428.40 is: 30,609,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406,428.40 : 30,609,642.60 = 20,406,428.40 : x
  2. Step 2: Convert to fraction form
    20,406,428.40/30,609,642.60 = 20,406,428.40/x
  3. Step 3: Cross multiply
    20,406,428.40x = 30,609,642.60 × 20,406,428.40
  4. Step 4: Simplify right side
    20,406,428.40x = 624,633,480,066,489.88
  5. Step 5: Solve for x
    x = 624,633,480,066,489.88/20,406,428.40
  6. Step 6: Final answer
    x = 30,609,642.60

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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.