Finding the Fourth Proportional to 12,282,920,516,111, 16,950,963,136,474 and 6,802,022,323,776
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Solution
The fourth proportional to 12,282,920,516,111, 16,950,963,136,474 and 6,802,022,323,776 is: 9,387,085,873,637.70
Step by Step Solution
- Step 1: Write the proportion equation
12,282,920,516,111 : 16,950,963,136,474 = 6,802,022,323,776 : x - Step 2: Convert to fraction form
12,282,920,516,111/16,950,963,136,474 = 6,802,022,323,776/x - Step 3: Cross multiply
12,282,920,516,111x = 16,950,963,136,474 × 6,802,022,323,776 - Step 4: Simplify right side
12,282,920,516,111x = 115,300,829,663,800,195,299,672,064 - Step 5: Solve for x
x = 115,300,829,663,800,195,299,672,064/12,282,920,516,111 - Step 6: Final answer
x = 9,387,085,873,637.70
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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.