Finding the Fourth Proportional to 1,289,120,502,178, 1,778,991,823,727.70 and 703,183,116,813.79
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Solution
The fourth proportional to 1,289,120,502,178, 1,778,991,823,727.70 and 703,183,116,813.79 is: 970,395,718,074.12
Step by Step Solution
- Step 1: Write the proportion equation
1,289,120,502,178 : 1,778,991,823,727.70 = 703,183,116,813.79 : x - Step 2: Convert to fraction form
1,289,120,502,178/1,778,991,823,727.70 = 703,183,116,813.79/x - Step 3: Cross multiply
1,289,120,502,178x = 1,778,991,823,727.70 × 703,183,116,813.79 - Step 4: Simplify right side
1,289,120,502,178x = 1,250,957,015,395,092,670,709,760 - Step 5: Solve for x
x = 1,250,957,015,395,092,670,709,760/1,289,120,502,178 - Step 6: Final answer
x = 970,395,718,074.12
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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.