Finding the Fourth Proportional to 765,276,656,986.85, 1,056,113,870,635.30 and 440,116,202,677.66
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Solution
The fourth proportional to 765,276,656,986.85, 1,056,113,870,635.30 and 440,116,202,677.66 is: 607,378,811,434.47
Step by Step Solution
- Step 1: Write the proportion equation
765,276,656,986.85 : 1,056,113,870,635.30 = 440,116,202,677.66 : x - Step 2: Convert to fraction form
765,276,656,986.85/1,056,113,870,635.30 = 440,116,202,677.66/x - Step 3: Cross multiply
765,276,656,986.85x = 1,056,113,870,635.30 × 440,116,202,677.66 - Step 4: Simplify right side
765,276,656,986.85x = 464,812,826,339,213,704,167,424 - Step 5: Solve for x
x = 464,812,826,339,213,704,167,424/765,276,656,986.85 - Step 6: Final answer
x = 607,378,811,434.47
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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.