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Finding the Fourth Proportional to 306,984,099.84, 460,714,936.86 and 214,265,499

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Solution

The fourth proportional to 306,984,099.84, 460,714,936.86 and 214,265,499 is: 321,564,914.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,984,099.84 : 460,714,936.86 = 214,265,499 : x
  2. Step 2: Convert to fraction form
    306,984,099.84/460,714,936.86 = 214,265,499/x
  3. Step 3: Cross multiply
    306,984,099.84x = 460,714,936.86 × 214,265,499
  4. Step 4: Simplify right side
    306,984,099.84x = 98,715,315,843,061,392
  5. Step 5: Solve for x
    x = 98,715,315,843,061,392/306,984,099.84
  6. Step 6: Final answer
    x = 321,564,914.58

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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.