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Finding the Fourth Proportional to 7,147,675.20, 9,984,350.40 and 7,147,675.20

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Solution

The fourth proportional to 7,147,675.20, 9,984,350.40 and 7,147,675.20 is: 9,984,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147,675.20 : 9,984,350.40 = 7,147,675.20 : x
  2. Step 2: Convert to fraction form
    7,147,675.20/9,984,350.40 = 7,147,675.20/x
  3. Step 3: Cross multiply
    7,147,675.20x = 9,984,350.40 × 7,147,675.20
  4. Step 4: Simplify right side
    7,147,675.20x = 71,364,893,742,190.08
  5. Step 5: Solve for x
    x = 71,364,893,742,190.08/7,147,675.20
  6. Step 6: Final answer
    x = 9,984,350.40

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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.