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Finding the Fourth Proportional to 298,994,723.80, 448,492,085.70 and 218,373,155.80

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Solution

The fourth proportional to 298,994,723.80, 448,492,085.70 and 218,373,155.80 is: 327,559,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,994,723.80 : 448,492,085.70 = 218,373,155.80 : x
  2. Step 2: Convert to fraction form
    298,994,723.80/448,492,085.70 = 218,373,155.80/x
  3. Step 3: Cross multiply
    298,994,723.80x = 448,492,085.70 × 218,373,155.80
  4. Step 4: Simplify right side
    298,994,723.80x = 97,938,632,105,633,056
  5. Step 5: Solve for x
    x = 97,938,632,105,633,056/298,994,723.80
  6. Step 6: Final answer
    x = 327,559,733.70

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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.