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Finding the Fourth Proportional to 419,130,261,036.88, 628,695,391,555.30 and 419,130,261,036.88

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Solution

The fourth proportional to 419,130,261,036.88, 628,695,391,555.30 and 419,130,261,036.88 is: 628,695,391,555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,130,261,036.88 : 628,695,391,555.30 = 419,130,261,036.88 : x
  2. Step 2: Convert to fraction form
    419,130,261,036.88/628,695,391,555.30 = 419,130,261,036.88/x
  3. Step 3: Cross multiply
    419,130,261,036.88x = 628,695,391,555.30 × 419,130,261,036.88
  4. Step 4: Simplify right side
    419,130,261,036.88x = 263,505,263,575,256,400,920,576
  5. Step 5: Solve for x
    x = 263,505,263,575,256,400,920,576/419,130,261,036.88
  6. Step 6: Final answer
    x = 628,695,391,555.30

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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.