Finding the Fourth Proportional to 1,096,102,851.30, 1,644,154,276.95 and 514,972,117.80
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Solution
The fourth proportional to 1,096,102,851.30, 1,644,154,276.95 and 514,972,117.80 is: 772,458,176.70
Step by Step Solution
- Step 1: Write the proportion equation
1,096,102,851.30 : 1,644,154,276.95 = 514,972,117.80 : x - Step 2: Convert to fraction form
1,096,102,851.30/1,644,154,276.95 = 514,972,117.80/x - Step 3: Cross multiply
1,096,102,851.30x = 1,644,154,276.95 × 514,972,117.80 - Step 4: Simplify right side
1,096,102,851.30x = 846,693,609,990,869,248 - Step 5: Solve for x
x = 846,693,609,990,869,248/1,096,102,851.30 - Step 6: Final answer
x = 772,458,176.70
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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.