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Finding the Fourth Proportional to 313,984,915.80, 470,977,373.70 and 177,936,019.80

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Solution

The fourth proportional to 313,984,915.80, 470,977,373.70 and 177,936,019.80 is: 266,904,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,984,915.80 : 470,977,373.70 = 177,936,019.80 : x
  2. Step 2: Convert to fraction form
    313,984,915.80/470,977,373.70 = 177,936,019.80/x
  3. Step 3: Cross multiply
    313,984,915.80x = 470,977,373.70 × 177,936,019.80
  4. Step 4: Simplify right side
    313,984,915.80x = 83,803,839,292,035,200
  5. Step 5: Solve for x
    x = 83,803,839,292,035,200/313,984,915.80
  6. Step 6: Final answer
    x = 266,904,029.70

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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.