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Finding the Fourth Proportional to 902,806,469.80, 1,354,209,704.70 and 765,056,962.60

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Solution

The fourth proportional to 902,806,469.80, 1,354,209,704.70 and 765,056,962.60 is: 1,147,585,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,806,469.80 : 1,354,209,704.70 = 765,056,962.60 : x
  2. Step 2: Convert to fraction form
    902,806,469.80/1,354,209,704.70 = 765,056,962.60/x
  3. Step 3: Cross multiply
    902,806,469.80x = 1,354,209,704.70 × 765,056,962.60
  4. Step 4: Simplify right side
    902,806,469.80x = 1,036,047,563,401,224,960
  5. Step 5: Solve for x
    x = 1,036,047,563,401,224,960/902,806,469.80
  6. Step 6: Final answer
    x = 1,147,585,443.90

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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.