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Finding the Fourth Proportional to 140,409,237.60, 210,235,942.80 and 140,409,237.60

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Solution

The fourth proportional to 140,409,237.60, 210,235,942.80 and 140,409,237.60 is: 210,235,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,409,237.60 : 210,235,942.80 = 140,409,237.60 : x
  2. Step 2: Convert to fraction form
    140,409,237.60/210,235,942.80 = 140,409,237.60/x
  3. Step 3: Cross multiply
    140,409,237.60x = 210,235,942.80 × 140,409,237.60
  4. Step 4: Simplify right side
    140,409,237.60x = 29,519,068,444,665,208
  5. Step 5: Solve for x
    x = 29,519,068,444,665,208/140,409,237.60
  6. Step 6: Final answer
    x = 210,235,942.80

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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.