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Finding the Fourth Proportional to 419,325,571,781.60, 628,988,357,672.40 and 419,325,571,781.60

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Solution

The fourth proportional to 419,325,571,781.60, 628,988,357,672.40 and 419,325,571,781.60 is: 628,988,357,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,325,571,781.60 : 628,988,357,672.40 = 419,325,571,781.60 : x
  2. Step 2: Convert to fraction form
    419,325,571,781.60/628,988,357,672.40 = 419,325,571,781.60/x
  3. Step 3: Cross multiply
    419,325,571,781.60x = 628,988,357,672.40 × 419,325,571,781.60
  4. Step 4: Simplify right side
    419,325,571,781.60x = 263,750,902,724,948,658,225,152
  5. Step 5: Solve for x
    x = 263,750,902,724,948,658,225,152/419,325,571,781.60
  6. Step 6: Final answer
    x = 628,988,357,672.40

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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.