Finding the Fourth Proportional to 1,402,627,734.18, 1,935,628,540.65 and 776,122,568.10
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Solution
The fourth proportional to 1,402,627,734.18, 1,935,628,540.65 and 776,122,568.10 is: 1,071,050,398.65
Step by Step Solution
- Step 1: Write the proportion equation
1,402,627,734.18 : 1,935,628,540.65 = 776,122,568.10 : x - Step 2: Convert to fraction form
1,402,627,734.18/1,935,628,540.65 = 776,122,568.10/x - Step 3: Cross multiply
1,402,627,734.18x = 1,935,628,540.65 × 776,122,568.10 - Step 4: Simplify right side
1,402,627,734.18x = 1,502,284,993,856,933,376 - Step 5: Solve for x
x = 1,502,284,993,856,933,376/1,402,627,734.18 - Step 6: Final answer
x = 1,071,050,398.65
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.