Finding the Fourth Proportional to 1,416,210,405,062.10, 1,954,376,247,278.90 and 765,888,988,688.20
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Solution
The fourth proportional to 1,416,210,405,062.10, 1,954,376,247,278.90 and 765,888,988,688.20 is: 1,056,929,988,788.66
Step by Step Solution
- Step 1: Write the proportion equation
1,416,210,405,062.10 : 1,954,376,247,278.90 = 765,888,988,688.20 : x - Step 2: Convert to fraction form
1,416,210,405,062.10/1,954,376,247,278.90 = 765,888,988,688.20/x - Step 3: Cross multiply
1,416,210,405,062.10x = 1,954,376,247,278.90 × 765,888,988,688.20 - Step 4: Simplify right side
1,416,210,405,062.10x = 1,496,835,247,544,675,980,017,664 - Step 5: Solve for x
x = 1,496,835,247,544,675,980,017,664/1,416,210,405,062.10 - Step 6: Final answer
x = 1,056,929,988,788.66
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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.