Finding the Fourth Proportional to 765,276,656,987.85, 1,056,113,870,636.70 and 440,116,202,678.66
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Solution
The fourth proportional to 765,276,656,987.85, 1,056,113,870,636.70 and 440,116,202,678.66 is: 607,378,811,435.86
Step by Step Solution
- Step 1: Write the proportion equation
765,276,656,987.85 : 1,056,113,870,636.70 = 440,116,202,678.66 : x - Step 2: Convert to fraction form
765,276,656,987.85/1,056,113,870,636.70 = 440,116,202,678.66/x - Step 3: Cross multiply
765,276,656,987.85x = 1,056,113,870,636.70 × 440,116,202,678.66 - Step 4: Simplify right side
765,276,656,987.85x = 464,812,826,340,885,922,840,576 - Step 5: Solve for x
x = 464,812,826,340,885,922,840,576/765,276,656,987.85 - Step 6: Final answer
x = 607,378,811,435.86
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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.