Finding the Fourth Proportional to 1,536,807,788.68, 2,120,795,457.94 and 831,959,770.12
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Solution
The fourth proportional to 1,536,807,788.68, 2,120,795,457.94 and 831,959,770.12 is: 1,148,104,866.89
Step by Step Solution
- Step 1: Write the proportion equation
1,536,807,788.68 : 2,120,795,457.94 = 831,959,770.12 : x - Step 2: Convert to fraction form
1,536,807,788.68/2,120,795,457.94 = 831,959,770.12/x - Step 3: Cross multiply
1,536,807,788.68x = 2,120,795,457.94 × 831,959,770.12 - Step 4: Simplify right side
1,536,807,788.68x = 1,764,416,501,659,302,656 - Step 5: Solve for x
x = 1,764,416,501,659,302,656/1,536,807,788.68 - Step 6: Final answer
x = 1,148,104,866.89
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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.