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Finding the Fourth Proportional to 12,030,074,367,081, 18,045,111,550,624 and 12,030,074,367,081

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Solution

The fourth proportional to 12,030,074,367,081, 18,045,111,550,624 and 12,030,074,367,081 is: 18,045,111,550,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030,074,367,081 : 18,045,111,550,624 = 12,030,074,367,081 : x
  2. Step 2: Convert to fraction form
    12,030,074,367,081/18,045,111,550,624 = 12,030,074,367,081/x
  3. Step 3: Cross multiply
    12,030,074,367,081x = 18,045,111,550,624 × 12,030,074,367,081
  4. Step 4: Simplify right side
    12,030,074,367,081x = 217,084,033,916,279,066,848,133,120
  5. Step 5: Solve for x
    x = 217,084,033,916,279,066,848,133,120/12,030,074,367,081
  6. Step 6: Final answer
    x = 18,045,111,550,624

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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.