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Finding the Fourth Proportional to 20,177,304,047.85, 30,265,956,071.78 and 20,177,304,047.85

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Solution

The fourth proportional to 20,177,304,047.85, 30,265,956,071.78 and 20,177,304,047.85 is: 30,265,956,071.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177,304,047.85 : 30,265,956,071.78 = 20,177,304,047.85 : x
  2. Step 2: Convert to fraction form
    20,177,304,047.85/30,265,956,071.78 = 20,177,304,047.85/x
  3. Step 3: Cross multiply
    20,177,304,047.85x = 30,265,956,071.78 × 20,177,304,047.85
  4. Step 4: Simplify right side
    20,177,304,047.85x = 610,685,397,959,075,954,688
  5. Step 5: Solve for x
    x = 610,685,397,959,075,954,688/20,177,304,047.85
  6. Step 6: Final answer
    x = 30,265,956,071.78

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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.