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Finding the Fourth Proportional to 12,030,074,367,086, 18,045,111,550,632 and 12,030,074,367,086

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Solution

The fourth proportional to 12,030,074,367,086, 18,045,111,550,632 and 12,030,074,367,086 is: 18,045,111,550,632

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030,074,367,086 : 18,045,111,550,632 = 12,030,074,367,086 : x
  2. Step 2: Convert to fraction form
    12,030,074,367,086/18,045,111,550,632 = 12,030,074,367,086/x
  3. Step 3: Cross multiply
    12,030,074,367,086x = 18,045,111,550,632 × 12,030,074,367,086
  4. Step 4: Simplify right side
    12,030,074,367,086x = 217,084,033,916,465,537,148,256,256
  5. Step 5: Solve for x
    x = 217,084,033,916,465,537,148,256,256/12,030,074,367,086
  6. Step 6: Final answer
    x = 18,045,111,550,632

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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.