Finding the Fourth Proportional to 1,390,722,071,205.40, 2,086,083,106,808.10 and 497,370,600,511.05
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Solution
The fourth proportional to 1,390,722,071,205.40, 2,086,083,106,808.10 and 497,370,600,511.05 is: 746,055,900,766.58
Step by Step Solution
- Step 1: Write the proportion equation
1,390,722,071,205.40 : 2,086,083,106,808.10 = 497,370,600,511.05 : x - Step 2: Convert to fraction form
1,390,722,071,205.40/2,086,083,106,808.10 = 497,370,600,511.05/x - Step 3: Cross multiply
1,390,722,071,205.40x = 2,086,083,106,808.10 × 497,370,600,511.05 - Step 4: Simplify right side
1,390,722,071,205.40x = 1,037,556,407,549,101,588,086,784 - Step 5: Solve for x
x = 1,037,556,407,549,101,588,086,784/1,390,722,071,205.40 - Step 6: Final answer
x = 746,055,900,766.58
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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.