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Finding the Fourth Proportional to 149,318,793,802.80, 223,978,190,704.20 and 149,318,793,802.80

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Solution

The fourth proportional to 149,318,793,802.80, 223,978,190,704.20 and 149,318,793,802.80 is: 223,978,190,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,318,793,802.80 : 223,978,190,704.20 = 149,318,793,802.80 : x
  2. Step 2: Convert to fraction form
    149,318,793,802.80/223,978,190,704.20 = 149,318,793,802.80/x
  3. Step 3: Cross multiply
    149,318,793,802.80x = 223,978,190,704.20 × 149,318,793,802.80
  4. Step 4: Simplify right side
    149,318,793,802.80x = 33,444,153,274,084,655,890,432
  5. Step 5: Solve for x
    x = 33,444,153,274,084,655,890,432/149,318,793,802.80
  6. Step 6: Final answer
    x = 223,978,190,704.20

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1.5x scale

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.