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Finding the Fourth Proportional to 65,200,602.40, 97,800,903.60 and 31,188,378.40

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Solution

The fourth proportional to 65,200,602.40, 97,800,903.60 and 31,188,378.40 is: 46,782,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200,602.40 : 97,800,903.60 = 31,188,378.40 : x
  2. Step 2: Convert to fraction form
    65,200,602.40/97,800,903.60 = 31,188,378.40/x
  3. Step 3: Cross multiply
    65,200,602.40x = 97,800,903.60 × 31,188,378.40
  4. Step 4: Simplify right side
    65,200,602.40x = 3,050,251,589,338,722
  5. Step 5: Solve for x
    x = 3,050,251,589,338,722/65,200,602.40
  6. Step 6: Final answer
    x = 46,782,567.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.