Finding the Fourth Proportional to 813,651,292,658, 1,122,765,802,457.10 and 471,118,274,192.47
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Solution
The fourth proportional to 813,651,292,658, 1,122,765,802,457.10 and 471,118,274,192.47 is: 650,100,960,877.16
Step by Step Solution
- Step 1: Write the proportion equation
813,651,292,658 : 1,122,765,802,457.10 = 471,118,274,192.47 : x - Step 2: Convert to fraction form
813,651,292,658/1,122,765,802,457.10 = 471,118,274,192.47/x - Step 3: Cross multiply
813,651,292,658x = 1,122,765,802,457.10 × 471,118,274,192.47 - Step 4: Simplify right side
813,651,292,658x = 528,955,487,175,912,638,644,224 - Step 5: Solve for x
x = 528,955,487,175,912,638,644,224/813,651,292,658 - Step 6: Final answer
x = 650,100,960,877.16
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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.