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Finding the Fourth Proportional to 144,582,912,164.80, 216,874,368,247.20 and 144,582,912,164.80

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Solution

The fourth proportional to 144,582,912,164.80, 216,874,368,247.20 and 144,582,912,164.80 is: 216,874,368,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,582,912,164.80 : 216,874,368,247.20 = 144,582,912,164.80 : x
  2. Step 2: Convert to fraction form
    144,582,912,164.80/216,874,368,247.20 = 144,582,912,164.80/x
  3. Step 3: Cross multiply
    144,582,912,164.80x = 216,874,368,247.20 × 144,582,912,164.80
  4. Step 4: Simplify right side
    144,582,912,164.80x = 31,356,327,735,081,408,921,600
  5. Step 5: Solve for x
    x = 31,356,327,735,081,408,921,600/144,582,912,164.80
  6. Step 6: Final answer
    x = 216,874,368,247.20

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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.