Finding the Fourth Proportional to 20,850,767,603,770, 31,280,653,124,702 and 6,346,906,693,303
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Solution
The fourth proportional to 20,850,767,603,770, 31,280,653,124,702 and 6,346,906,693,303 is: 9,521,730,348,774.48
Step by Step Solution
- Step 1: Write the proportion equation
20,850,767,603,770 : 31,280,653,124,702 = 6,346,906,693,303 : x - Step 2: Convert to fraction form
20,850,767,603,770/31,280,653,124,702 = 6,346,906,693,303/x - Step 3: Cross multiply
20,850,767,603,770x = 31,280,653,124,702 × 6,346,906,693,303 - Step 4: Simplify right side
20,850,767,603,770x = 198,535,386,688,060,524,668,649,472 - Step 5: Solve for x
x = 198,535,386,688,060,524,668,649,472/20,850,767,603,770 - Step 6: Final answer
x = 9,521,730,348,774.48
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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.