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Finding the Fourth Proportional to 31,202,023.80, 46,719,054.90 and 31,202,023.80

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Solution

The fourth proportional to 31,202,023.80, 46,719,054.90 and 31,202,023.80 is: 46,719,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202,023.80 : 46,719,054.90 = 31,202,023.80 : x
  2. Step 2: Convert to fraction form
    31,202,023.80/46,719,054.90 = 31,202,023.80/x
  3. Step 3: Cross multiply
    31,202,023.80x = 46,719,054.90 × 31,202,023.80
  4. Step 4: Simplify right side
    31,202,023.80x = 1,457,729,062,903,306.50
  5. Step 5: Solve for x
    x = 1,457,729,062,903,306.50/31,202,023.80
  6. Step 6: Final answer
    x = 46,719,054.90

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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.