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Finding the Fourth Proportional to 677,078,840.75, 934,470,931.84 and 412,914,072.20

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Solution

The fourth proportional to 677,078,840.75, 934,470,931.84 and 412,914,072.20 is: 569,883,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,078,840.75 : 934,470,931.84 = 412,914,072.20 : x
  2. Step 2: Convert to fraction form
    677,078,840.75/934,470,931.84 = 412,914,072.20/x
  3. Step 3: Cross multiply
    677,078,840.75x = 934,470,931.84 × 412,914,072.20
  4. Step 4: Simplify right side
    677,078,840.75x = 385,856,197,812,878,400
  5. Step 5: Solve for x
    x = 385,856,197,812,878,400/677,078,840.75
  6. Step 6: Final answer
    x = 569,883,704.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.