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Finding the Fourth Proportional to 255,453,984,000.80, 383,180,976,001.20 and 255,453,984,000.80

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Solution

The fourth proportional to 255,453,984,000.80, 383,180,976,001.20 and 255,453,984,000.80 is: 383,180,976,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,453,984,000.80 : 383,180,976,001.20 = 255,453,984,000.80 : x
  2. Step 2: Convert to fraction form
    255,453,984,000.80/383,180,976,001.20 = 255,453,984,000.80/x
  3. Step 3: Cross multiply
    255,453,984,000.80x = 383,180,976,001.20 × 255,453,984,000.80
  4. Step 4: Simplify right side
    255,453,984,000.80x = 97,885,106,912,821,470,298,112
  5. Step 5: Solve for x
    x = 97,885,106,912,821,470,298,112/255,453,984,000.80
  6. Step 6: Final answer
    x = 383,180,976,001.20

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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.