Finding the Fourth Proportional to 3,648,112,157.18, 5,034,402,195.30 and 1,977,362,430.14
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Solution
The fourth proportional to 3,648,112,157.18, 5,034,402,195.30 and 1,977,362,430.14 is: 2,728,764,174.54
Step by Step Solution
- Step 1: Write the proportion equation
3,648,112,157.18 : 5,034,402,195.30 = 1,977,362,430.14 : x - Step 2: Convert to fraction form
3,648,112,157.18/5,034,402,195.30 = 1,977,362,430.14/x - Step 3: Cross multiply
3,648,112,157.18x = 5,034,402,195.30 × 1,977,362,430.14 - Step 4: Simplify right side
3,648,112,157.18x = 9,954,837,759,213,144,064 - Step 5: Solve for x
x = 9,954,837,759,213,144,064/3,648,112,157.18 - Step 6: Final answer
x = 2,728,764,174.54
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.