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Finding the Fourth Proportional to 392,717,253,499.80, 589,075,880,249.70 and 392,717,253,499.80

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Solution

The fourth proportional to 392,717,253,499.80, 589,075,880,249.70 and 392,717,253,499.80 is: 589,075,880,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,717,253,499.80 : 589,075,880,249.70 = 392,717,253,499.80 : x
  2. Step 2: Convert to fraction form
    392,717,253,499.80/589,075,880,249.70 = 392,717,253,499.80/x
  3. Step 3: Cross multiply
    392,717,253,499.80x = 589,075,880,249.70 × 392,717,253,499.80
  4. Step 4: Simplify right side
    392,717,253,499.80x = 231,340,261,794,639,220,047,872
  5. Step 5: Solve for x
    x = 231,340,261,794,639,220,047,872/392,717,253,499.80
  6. Step 6: Final answer
    x = 589,075,880,249.70

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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.