Finding the Fourth Proportional to 1,299,213,689.56, 1,948,042,274.66 and 413,516,474.76
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Solution
The fourth proportional to 1,299,213,689.56, 1,948,042,274.66 and 413,516,474.76 is: 620,027,006.01
Step by Step Solution
- Step 1: Write the proportion equation
1,299,213,689.56 : 1,948,042,274.66 = 413,516,474.76 : x - Step 2: Convert to fraction form
1,299,213,689.56/1,948,042,274.66 = 413,516,474.76/x - Step 3: Cross multiply
1,299,213,689.56x = 1,948,042,274.66 × 413,516,474.76 - Step 4: Simplify right side
1,299,213,689.56x = 805,547,574,100,854,912 - Step 5: Solve for x
x = 805,547,574,100,854,912/1,299,213,689.56 - Step 6: Final answer
x = 620,027,006.01
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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.