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Finding the Fourth Proportional to 274,302,288,980.60, 411,453,433,470.90 and 274,302,288,980.60

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Solution

The fourth proportional to 274,302,288,980.60, 411,453,433,470.90 and 274,302,288,980.60 is: 411,453,433,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,302,288,980.60 : 411,453,433,470.90 = 274,302,288,980.60 : x
  2. Step 2: Convert to fraction form
    274,302,288,980.60/411,453,433,470.90 = 274,302,288,980.60/x
  3. Step 3: Cross multiply
    274,302,288,980.60x = 411,453,433,470.90 × 274,302,288,980.60
  4. Step 4: Simplify right side
    274,302,288,980.60x = 112,862,618,609,994,895,982,592
  5. Step 5: Solve for x
    x = 112,862,618,609,994,895,982,592/274,302,288,980.60
  6. Step 6: Final answer
    x = 411,453,433,470.90

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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.