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Finding the Fourth Proportional to 31,020,164.30, 46,530,246.45 and 31,020,164.30

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Solution

The fourth proportional to 31,020,164.30, 46,530,246.45 and 31,020,164.30 is: 46,530,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,020,164.30 : 46,530,246.45 = 31,020,164.30 : x
  2. Step 2: Convert to fraction form
    31,020,164.30/46,530,246.45 = 31,020,164.30/x
  3. Step 3: Cross multiply
    31,020,164.30x = 46,530,246.45 × 31,020,164.30
  4. Step 4: Simplify right side
    31,020,164.30x = 1,443,375,889,798,491.75
  5. Step 5: Solve for x
    x = 1,443,375,889,798,491.75/31,020,164.30
  6. Step 6: Final answer
    x = 46,530,246.45

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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.