Finding the Fourth Proportional to 14,416,426,445,099, 19,896,374,041,464 and 8,563,556,821,725
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Solution
The fourth proportional to 14,416,426,445,099, 19,896,374,041,464 and 8,563,556,821,725 is: 11,818,721,532,637.15
Step by Step Solution
- Step 1: Write the proportion equation
14,416,426,445,099 : 19,896,374,041,464 = 8,563,556,821,725 : x - Step 2: Convert to fraction form
14,416,426,445,099/19,896,374,041,464 = 8,563,556,821,725/x - Step 3: Cross multiply
14,416,426,445,099x = 19,896,374,041,464 × 8,563,556,821,725 - Step 4: Simplify right side
14,416,426,445,099x = 170,383,729,650,371,243,968,299,008 - Step 5: Solve for x
x = 170,383,729,650,371,243,968,299,008/14,416,426,445,099 - Step 6: Final answer
x = 11,818,721,532,637.15
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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.