Finding the Fourth Proportional to 23,348,990,344,947, 35,029,319,064,182 and 16,478,199,032,677
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Solution
The fourth proportional to 23,348,990,344,947, 35,029,319,064,182 and 16,478,199,032,677 is: 24,721,415,486,972.23
Step by Step Solution
- Step 1: Write the proportion equation
23,348,990,344,947 : 35,029,319,064,182 = 16,478,199,032,677 : x - Step 2: Convert to fraction form
23,348,990,344,947/35,029,319,064,182 = 16,478,199,032,677/x - Step 3: Cross multiply
23,348,990,344,947x = 35,029,319,064,182 × 16,478,199,032,677 - Step 4: Simplify right side
23,348,990,344,947x = 577,220,091,518,737,836,245,254,144 - Step 5: Solve for x
x = 577,220,091,518,737,836,245,254,144/23,348,990,344,947 - Step 6: Final answer
x = 24,721,415,486,972.23
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.