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Finding the Fourth Proportional to 20,049,969,852,046, 30,074,954,778,066 and 20,049,969,852,046

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Solution

The fourth proportional to 20,049,969,852,046, 30,074,954,778,066 and 20,049,969,852,046 is: 30,074,954,778,066

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049,969,852,046 : 30,074,954,778,066 = 20,049,969,852,046 : x
  2. Step 2: Convert to fraction form
    20,049,969,852,046/30,074,954,778,066 = 20,049,969,852,046/x
  3. Step 3: Cross multiply
    20,049,969,852,046x = 30,074,954,778,066 × 20,049,969,852,046
  4. Step 4: Simplify right side
    20,049,969,852,046x = 603,001,936,601,870,070,360,047,616
  5. Step 5: Solve for x
    x = 603,001,936,601,870,070,360,047,616/20,049,969,852,046
  6. Step 6: Final answer
    x = 30,074,954,778,066

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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.