Finding the Fourth Proportional to 993,852,735,032.05, 1,490,655,715,677.70 and 267,840,862,931.05
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Solution
The fourth proportional to 993,852,735,032.05, 1,490,655,715,677.70 and 267,840,862,931.05 is: 401,728,041,939.07
Step by Step Solution
- Step 1: Write the proportion equation
993,852,735,032.05 : 1,490,655,715,677.70 = 267,840,862,931.05 : x - Step 2: Convert to fraction form
993,852,735,032.05/1,490,655,715,677.70 = 267,840,862,931.05/x - Step 3: Cross multiply
993,852,735,032.05x = 1,490,655,715,677.70 × 267,840,862,931.05 - Step 4: Simplify right side
993,852,735,032.05x = 399,258,513,220,217,067,274,240 - Step 5: Solve for x
x = 399,258,513,220,217,067,274,240/993,852,735,032.05 - Step 6: Final answer
x = 401,728,041,939.07
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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.