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Finding the Fourth Proportional to 242,086,970,908.80, 362,477,421,662.40 and 242,086,970,908.80

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Solution

The fourth proportional to 242,086,970,908.80, 362,477,421,662.40 and 242,086,970,908.80 is: 362,477,421,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,086,970,908.80 : 362,477,421,662.40 = 242,086,970,908.80 : x
  2. Step 2: Convert to fraction form
    242,086,970,908.80/362,477,421,662.40 = 242,086,970,908.80/x
  3. Step 3: Cross multiply
    242,086,970,908.80x = 362,477,421,662.40 × 242,086,970,908.80
  4. Step 4: Simplify right side
    242,086,970,908.80x = 87,751,061,033,082,253,475,840
  5. Step 5: Solve for x
    x = 87,751,061,033,082,253,475,840/242,086,970,908.80
  6. Step 6: Final answer
    x = 362,477,421,662.40

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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.