Finding the Fourth Proportional to 1,763,638,969.29, 2,645,515,750.69 and 519,965,142.09
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Solution
The fourth proportional to 1,763,638,969.29, 2,645,515,750.69 and 519,965,142.09 is: 779,964,605.65
Step by Step Solution
- Step 1: Write the proportion equation
1,763,638,969.29 : 2,645,515,750.69 = 519,965,142.09 : x - Step 2: Convert to fraction form
1,763,638,969.29/2,645,515,750.69 = 519,965,142.09/x - Step 3: Cross multiply
1,763,638,969.29x = 2,645,515,750.69 × 519,965,142.09 - Step 4: Simplify right side
1,763,638,969.29x = 1,375,575,973,195,188,736 - Step 5: Solve for x
x = 1,375,575,973,195,188,736/1,763,638,969.29 - Step 6: Final answer
x = 779,964,605.65
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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.