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Finding the Fourth Proportional to 140,157,296.80, 210,235,945.20 and 140,157,296.80

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Solution

The fourth proportional to 140,157,296.80, 210,235,945.20 and 140,157,296.80 is: 210,235,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,157,296.80 : 210,235,945.20 = 140,157,296.80 : x
  2. Step 2: Convert to fraction form
    140,157,296.80/210,235,945.20 = 140,157,296.80/x
  3. Step 3: Cross multiply
    140,157,296.80x = 210,235,945.20 × 140,157,296.80
  4. Step 4: Simplify right side
    140,157,296.80x = 29,466,101,769,424,936
  5. Step 5: Solve for x
    x = 29,466,101,769,424,936/140,157,296.80
  6. Step 6: Final answer
    x = 210,235,945.20

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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.