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Finding the Fourth Proportional to 122,178,312,912.30, 183,267,469,368.45 and 122,178,312,912.30

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Solution

The fourth proportional to 122,178,312,912.30, 183,267,469,368.45 and 122,178,312,912.30 is: 183,267,469,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,178,312,912.30 : 183,267,469,368.45 = 122,178,312,912.30 : x
  2. Step 2: Convert to fraction form
    122,178,312,912.30/183,267,469,368.45 = 122,178,312,912.30/x
  3. Step 3: Cross multiply
    122,178,312,912.30x = 183,267,469,368.45 × 122,178,312,912.30
  4. Step 4: Simplify right side
    122,178,312,912.30x = 22,391,310,219,143,842,627,584
  5. Step 5: Solve for x
    x = 22,391,310,219,143,842,627,584/122,178,312,912.30
  6. Step 6: Final answer
    x = 183,267,469,368.45

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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.