Finding the Fourth Proportional to 47,970,118,091,416, 66,198,762,966,144 and 27,439,931,538,328
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Solution
The fourth proportional to 47,970,118,091,416, 66,198,762,966,144 and 27,439,931,538,328 is: 37,867,105,522,886.88
Step by Step Solution
- Step 1: Write the proportion equation
47,970,118,091,416 : 66,198,762,966,144 = 27,439,931,538,328 : x - Step 2: Convert to fraction form
47,970,118,091,416/66,198,762,966,144 = 27,439,931,538,328/x - Step 3: Cross multiply
47,970,118,091,416x = 66,198,762,966,144 × 27,439,931,538,328 - Step 4: Simplify right side
47,970,118,091,416x = 1,816,489,523,712,994,346,786,619,392 - Step 5: Solve for x
x = 1,816,489,523,712,994,346,786,619,392/47,970,118,091,416 - Step 6: Final answer
x = 37,867,105,522,886.88
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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.