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Finding the Fourth Proportional to 176,659,658.81, 264,866,775.83 and 78,237,732.85

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Solution

The fourth proportional to 176,659,658.81, 264,866,775.83 and 78,237,732.85 is: 117,302,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,659,658.81 : 264,866,775.83 = 78,237,732.85 : x
  2. Step 2: Convert to fraction form
    176,659,658.81/264,866,775.83 = 78,237,732.85/x
  3. Step 3: Cross multiply
    176,659,658.81x = 264,866,775.83 × 78,237,732.85
  4. Step 4: Simplify right side
    176,659,658.81x = 20,722,576,048,958,292
  5. Step 5: Solve for x
    x = 20,722,576,048,958,292/176,659,658.81
  6. Step 6: Final answer
    x = 117,302,253.32

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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.