Finding the Fourth Proportional to 765,276,659,587.36, 1,056,113,874,213.30 and 440,116,205,273.92
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Solution
The fourth proportional to 765,276,659,587.36, 1,056,113,874,213.30 and 440,116,205,273.92 is: 607,378,815,011.19
Step by Step Solution
- Step 1: Write the proportion equation
765,276,659,587.36 : 1,056,113,874,213.30 = 440,116,205,273.92 : x - Step 2: Convert to fraction form
765,276,659,587.36/1,056,113,874,213.30 = 440,116,205,273.92/x - Step 3: Cross multiply
765,276,659,587.36x = 1,056,113,874,213.30 × 440,116,205,273.92 - Step 4: Simplify right side
765,276,659,587.36x = 464,812,830,655,895,683,727,360 - Step 5: Solve for x
x = 464,812,830,655,895,683,727,360/765,276,659,587.36 - Step 6: Final answer
x = 607,378,815,011.19
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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.