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Finding the Fourth Proportional to 208,032,137.60, 311,451,009.60 and 202,060,169.60

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Solution

The fourth proportional to 208,032,137.60, 311,451,009.60 and 202,060,169.60 is: 302,510,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032,137.60 : 311,451,009.60 = 202,060,169.60 : x
  2. Step 2: Convert to fraction form
    208,032,137.60/311,451,009.60 = 202,060,169.60/x
  3. Step 3: Cross multiply
    208,032,137.60x = 311,451,009.60 × 202,060,169.60
  4. Step 4: Simplify right side
    208,032,137.60x = 62,931,843,821,867,232
  5. Step 5: Solve for x
    x = 62,931,843,821,867,232/208,032,137.60
  6. Step 6: Final answer
    x = 302,510,201.30

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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.