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Finding the Fourth Proportional to 12,030,074,367,066, 18,045,111,550,600 and 12,030,074,367,066

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Solution

The fourth proportional to 12,030,074,367,066, 18,045,111,550,600 and 12,030,074,367,066 is: 18,045,111,550,600

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030,074,367,066 : 18,045,111,550,600 = 12,030,074,367,066 : x
  2. Step 2: Convert to fraction form
    12,030,074,367,066/18,045,111,550,600 = 12,030,074,367,066/x
  3. Step 3: Cross multiply
    12,030,074,367,066x = 18,045,111,550,600 × 12,030,074,367,066
  4. Step 4: Simplify right side
    12,030,074,367,066x = 217,084,033,915,719,655,947,763,712
  5. Step 5: Solve for x
    x = 217,084,033,915,719,655,947,763,712/12,030,074,367,066
  6. Step 6: Final answer
    x = 18,045,111,550,600

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1.5x scale

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.