Finding the Fourth Proportional to 766,225,685,482.80, 1,056,893,216,213.30 and 491,436,088,614.66
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Solution
The fourth proportional to 766,225,685,482.80, 1,056,893,216,213.30 and 491,436,088,614.66 is: 677,862,251,422.65
Step by Step Solution
- Step 1: Write the proportion equation
766,225,685,482.80 : 1,056,893,216,213.30 = 491,436,088,614.66 : x - Step 2: Convert to fraction form
766,225,685,482.80/1,056,893,216,213.30 = 491,436,088,614.66/x - Step 3: Cross multiply
766,225,685,482.80x = 1,056,893,216,213.30 × 491,436,088,614.66 - Step 4: Simplify right side
766,225,685,482.80x = 519,395,468,259,232,338,411,520 - Step 5: Solve for x
x = 519,395,468,259,232,338,411,520/766,225,685,482.80 - Step 6: Final answer
x = 677,862,251,422.65
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Double scale
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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.