Finding the Fourth Proportional to 15,307,229,532,507, 21,114,023,398,574 and 9,817,636,171,572
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Solution
The fourth proportional to 15,307,229,532,507, 21,114,023,398,574 and 9,817,636,171,572 is: 13,541,954,107,701.16
Step by Step Solution
- Step 1: Write the proportion equation
15,307,229,532,507 : 21,114,023,398,574 = 9,817,636,171,572 : x - Step 2: Convert to fraction form
15,307,229,532,507/21,114,023,398,574 = 9,817,636,171,572/x - Step 3: Cross multiply
15,307,229,532,507x = 21,114,023,398,574 × 9,817,636,171,572 - Step 4: Simplify right side
15,307,229,532,507x = 207,289,799,845,257,685,858,516,992 - Step 5: Solve for x
x = 207,289,799,845,257,685,858,516,992/15,307,229,532,507 - Step 6: Final answer
x = 13,541,954,107,701.16
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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.