Finding the Fourth Proportional to 1,417,599,135.78, 1,956,287,167.47 and 782,519,980.38
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Solution
The fourth proportional to 1,417,599,135.78, 1,956,287,167.47 and 782,519,980.38 is: 1,079,877,771.70
Step by Step Solution
- Step 1: Write the proportion equation
1,417,599,135.78 : 1,956,287,167.47 = 782,519,980.38 : x - Step 2: Convert to fraction form
1,417,599,135.78/1,956,287,167.47 = 782,519,980.38/x - Step 3: Cross multiply
1,417,599,135.78x = 1,956,287,167.47 × 782,519,980.38 - Step 4: Simplify right side
1,417,599,135.78x = 1,530,833,795,906,270,208 - Step 5: Solve for x
x = 1,530,833,795,906,270,208/1,417,599,135.78 - Step 6: Final answer
x = 1,079,877,771.70
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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.