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Finding the Fourth Proportional to 208,770,196,090.80, 313,155,294,136.20 and 208,770,196,090.80

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Solution

The fourth proportional to 208,770,196,090.80, 313,155,294,136.20 and 208,770,196,090.80 is: 313,155,294,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,770,196,090.80 : 313,155,294,136.20 = 208,770,196,090.80 : x
  2. Step 2: Convert to fraction form
    208,770,196,090.80/313,155,294,136.20 = 208,770,196,090.80/x
  3. Step 3: Cross multiply
    208,770,196,090.80x = 313,155,294,136.20 × 208,770,196,090.80
  4. Step 4: Simplify right side
    208,770,196,090.80x = 65,377,492,163,686,624,657,408
  5. Step 5: Solve for x
    x = 65,377,492,163,686,624,657,408/208,770,196,090.80
  6. Step 6: Final answer
    x = 313,155,294,136.20

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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.