Finding the Fourth Proportional to 12,282,920,516,145, 16,950,963,136,522 and 6,802,022,323,810
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Solution
The fourth proportional to 12,282,920,516,145, 16,950,963,136,522 and 6,802,022,323,810 is: 9,387,085,873,685.21
Step by Step Solution
- Step 1: Write the proportion equation
12,282,920,516,145 : 16,950,963,136,522 = 6,802,022,323,810 : x - Step 2: Convert to fraction form
12,282,920,516,145/16,950,963,136,522 = 6,802,022,323,810/x - Step 3: Cross multiply
12,282,920,516,145x = 16,950,963,136,522 × 6,802,022,323,810 - Step 4: Simplify right side
12,282,920,516,145x = 115,300,829,664,703,014,605,160,448 - Step 5: Solve for x
x = 115,300,829,664,703,014,605,160,448/12,282,920,516,145 - Step 6: Final answer
x = 9,387,085,873,685.21
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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.