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Finding the Fourth Proportional to 274,160,808,002.80, 410,467,244,951.40 and 274,160,808,002.80

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Solution

The fourth proportional to 274,160,808,002.80, 410,467,244,951.40 and 274,160,808,002.80 is: 410,467,244,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,160,808,002.80 : 410,467,244,951.40 = 274,160,808,002.80 : x
  2. Step 2: Convert to fraction form
    274,160,808,002.80/410,467,244,951.40 = 274,160,808,002.80/x
  3. Step 3: Cross multiply
    274,160,808,002.80x = 410,467,244,951.40 × 274,160,808,002.80
  4. Step 4: Simplify right side
    274,160,808,002.80x = 112,534,031,534,559,051,382,784
  5. Step 5: Solve for x
    x = 112,534,031,534,559,051,382,784/274,160,808,002.80
  6. Step 6: Final answer
    x = 410,467,244,951.40

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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.