Finding the Fourth Proportional to 765,312,414.75, 1,056,164,577.69 and 430,806,521.97
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Solution
The fourth proportional to 765,312,414.75, 1,056,164,577.69 and 430,806,521.97 is: 594,531,827.23
Step by Step Solution
- Step 1: Write the proportion equation
765,312,414.75 : 1,056,164,577.69 = 430,806,521.97 : x - Step 2: Convert to fraction form
765,312,414.75/1,056,164,577.69 = 430,806,521.97/x - Step 3: Cross multiply
765,312,414.75x = 1,056,164,577.69 × 430,806,521.97 - Step 4: Simplify right side
765,312,414.75x = 455,002,588,344,136,768 - Step 5: Solve for x
x = 455,002,588,344,136,768/765,312,414.75 - Step 6: Final answer
x = 594,531,827.23
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1.5x scale
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.