Finding the Fourth Proportional to 23,348,990,344,946, 35,029,319,064,180 and 16,478,199,032,676
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Solution
The fourth proportional to 23,348,990,344,946, 35,029,319,064,180 and 16,478,199,032,676 is: 24,721,415,486,970.38
Step by Step Solution
- Step 1: Write the proportion equation
23,348,990,344,946 : 35,029,319,064,180 = 16,478,199,032,676 : x - Step 2: Convert to fraction form
23,348,990,344,946/35,029,319,064,180 = 16,478,199,032,676/x - Step 3: Cross multiply
23,348,990,344,946x = 35,029,319,064,180 × 16,478,199,032,676 - Step 4: Simplify right side
23,348,990,344,946x = 577,220,091,518,669,872,682,762,240 - Step 5: Solve for x
x = 577,220,091,518,669,872,682,762,240/23,348,990,344,946 - Step 6: Final answer
x = 24,721,415,486,970.38
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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.