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Finding the Fourth Proportional to 178,085,307.30, 267,127,960.95 and 178,085,307.30

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Solution

The fourth proportional to 178,085,307.30, 267,127,960.95 and 178,085,307.30 is: 267,127,960.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,085,307.30 : 267,127,960.95 = 178,085,307.30 : x
  2. Step 2: Convert to fraction form
    178,085,307.30/267,127,960.95 = 178,085,307.30/x
  3. Step 3: Cross multiply
    178,085,307.30x = 267,127,960.95 × 178,085,307.30
  4. Step 4: Simplify right side
    178,085,307.30x = 47,571,565,014,203,152
  5. Step 5: Solve for x
    x = 47,571,565,014,203,152/178,085,307.30
  6. Step 6: Final answer
    x = 267,127,960.95

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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.