Finding the Fourth Proportional to 20,173,581,976,557, 27,839,569,974,794 and 10,924,582,227,820
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Solution
The fourth proportional to 20,173,581,976,557, 27,839,569,974,794 and 10,924,582,227,820 is: 15,075,938,012,902.77
Step by Step Solution
- Step 1: Write the proportion equation
20,173,581,976,557 : 27,839,569,974,794 = 10,924,582,227,820 : x - Step 2: Convert to fraction form
20,173,581,976,557/27,839,569,974,794 = 10,924,582,227,820/x - Step 3: Cross multiply
20,173,581,976,557x = 27,839,569,974,794 × 10,924,582,227,820 - Step 4: Simplify right side
20,173,581,976,557x = 304,135,671,376,785,818,607,681,536 - Step 5: Solve for x
x = 304,135,671,376,785,818,607,681,536/20,173,581,976,557 - Step 6: Final answer
x = 15,075,938,012,902.77
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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.