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Finding the Fourth Proportional to 68,157,308,301.70, 102,235,962,452.55 and 68,157,308,301.70

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Solution

The fourth proportional to 68,157,308,301.70, 102,235,962,452.55 and 68,157,308,301.70 is: 102,235,962,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,157,308,301.70 : 102,235,962,452.55 = 68,157,308,301.70 : x
  2. Step 2: Convert to fraction form
    68,157,308,301.70/102,235,962,452.55 = 68,157,308,301.70/x
  3. Step 3: Cross multiply
    68,157,308,301.70x = 102,235,962,452.55 × 68,157,308,301.70
  4. Step 4: Simplify right side
    68,157,308,301.70x = 6,968,128,012,399,475,163,136
  5. Step 5: Solve for x
    x = 6,968,128,012,399,475,163,136/68,157,308,301.70
  6. Step 6: Final answer
    x = 102,235,962,452.55

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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.