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Finding the Fourth Proportional to 31,158,046.40, 46,737,069.60 and 31,158,046.40

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Solution

The fourth proportional to 31,158,046.40, 46,737,069.60 and 31,158,046.40 is: 46,737,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158,046.40 : 46,737,069.60 = 31,158,046.40 : x
  2. Step 2: Convert to fraction form
    31,158,046.40/46,737,069.60 = 31,158,046.40/x
  3. Step 3: Cross multiply
    31,158,046.40x = 46,737,069.60 × 31,158,046.40
  4. Step 4: Simplify right side
    31,158,046.40x = 1,456,235,783,196,829.50
  5. Step 5: Solve for x
    x = 1,456,235,783,196,829.50/31,158,046.40
  6. Step 6: Final answer
    x = 46,737,069.60

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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.