Finding the Fourth Proportional to 210,707,879,119.68, 290,777,088,386.03 and 114,363,985,445.18
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Solution
The fourth proportional to 210,707,879,119.68, 290,777,088,386.03 and 114,363,985,445.18 is: 157,822,416,716.95
Step by Step Solution
- Step 1: Write the proportion equation
210,707,879,119.68 : 290,777,088,386.03 = 114,363,985,445.18 : x - Step 2: Convert to fraction form
210,707,879,119.68/290,777,088,386.03 = 114,363,985,445.18/x - Step 3: Cross multiply
210,707,879,119.68x = 290,777,088,386.03 × 114,363,985,445.18 - Step 4: Simplify right side
210,707,879,119.68x = 33,254,426,703,971,754,180,608 - Step 5: Solve for x
x = 33,254,426,703,971,754,180,608/210,707,879,119.68 - Step 6: Final answer
x = 157,822,416,716.95
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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.