Finding the Fourth Proportional to 30,974,503,677,860, 42,748,563,317,908 and 17,629,071,474,163
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Solution
The fourth proportional to 30,974,503,677,860, 42,748,563,317,908 and 17,629,071,474,163 is: 24,330,251,938,398.44
Step by Step Solution
- Step 1: Write the proportion equation
30,974,503,677,860 : 42,748,563,317,908 = 17,629,071,474,163 : x - Step 2: Convert to fraction form
30,974,503,677,860/42,748,563,317,908 = 17,629,071,474,163/x - Step 3: Cross multiply
30,974,503,677,860x = 42,748,563,317,908 × 17,629,071,474,163 - Step 4: Simplify right side
30,974,503,677,860x = 753,617,478,149,182,774,130,507,776 - Step 5: Solve for x
x = 753,617,478,149,182,774,130,507,776/30,974,503,677,860 - Step 6: Final answer
x = 24,330,251,938,398.44
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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.