Finding the Fourth Proportional to 40,490,297,815,780, 55,875,660,570,316 and 23,824,350,675,358
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Solution
The fourth proportional to 40,490,297,815,780, 55,875,660,570,316 and 23,824,350,675,358 is: 32,877,044,710,836.45
Step by Step Solution
- Step 1: Write the proportion equation
40,490,297,815,780 : 55,875,660,570,316 = 23,824,350,675,358 : x - Step 2: Convert to fraction form
40,490,297,815,780/55,875,660,570,316 = 23,824,350,675,358/x - Step 3: Cross multiply
40,490,297,815,780x = 55,875,660,570,316 × 23,824,350,675,358 - Step 4: Simplify right side
40,490,297,815,780x = 1,331,201,331,644,482,445,887,143,936 - Step 5: Solve for x
x = 1,331,201,331,644,482,445,887,143,936/40,490,297,815,780 - Step 6: Final answer
x = 32,877,044,710,836.45
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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.