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Finding the Fourth Proportional to 176,659,658.30, 264,866,775.06 and 78,237,732.34

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Solution

The fourth proportional to 176,659,658.30, 264,866,775.06 and 78,237,732.34 is: 117,302,252.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,659,658.30 : 264,866,775.06 = 78,237,732.34 : x
  2. Step 2: Convert to fraction form
    176,659,658.30/264,866,775.06 = 78,237,732.34/x
  3. Step 3: Cross multiply
    176,659,658.30x = 264,866,775.06 × 78,237,732.34
  4. Step 4: Simplify right side
    176,659,658.30x = 20,722,575,852,241,104
  5. Step 5: Solve for x
    x = 20,722,575,852,241,104/176,659,658.30
  6. Step 6: Final answer
    x = 117,302,252.55

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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.