Finding the Fourth Proportional to 30,430,103,921.73, 45,645,507,242.78 and 9,182,736,540.99
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Solution
The fourth proportional to 30,430,103,921.73, 45,645,507,242.78 and 9,182,736,540.99 is: 13,774,210,839.65
Step by Step Solution
- Step 1: Write the proportion equation
30,430,103,921.73 : 45,645,507,242.78 = 9,182,736,540.99 : x - Step 2: Convert to fraction form
30,430,103,921.73/45,645,507,242.78 = 9,182,736,540.99/x - Step 3: Cross multiply
30,430,103,921.73x = 45,645,507,242.78 × 9,182,736,540.99 - Step 4: Simplify right side
30,430,103,921.73x = 419,150,667,290,253,721,600 - Step 5: Solve for x
x = 419,150,667,290,253,721,600/30,430,103,921.73 - Step 6: Final answer
x = 13,774,210,839.65
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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.