Finding the Fourth Proportional to 1,679,877,884,908.90, 2,318,206,809,721.10 and 938,295,543,212.65
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Solution
The fourth proportional to 1,679,877,884,908.90, 2,318,206,809,721.10 and 938,295,543,212.65 is: 1,294,834,069,396.95
Step by Step Solution
- Step 1: Write the proportion equation
1,679,877,884,908.90 : 2,318,206,809,721.10 = 938,295,543,212.65 : x - Step 2: Convert to fraction form
1,679,877,884,908.90/2,318,206,809,721.10 = 938,295,543,212.65/x - Step 3: Cross multiply
1,679,877,884,908.90x = 2,318,206,809,721.10 × 938,295,543,212.65 - Step 4: Simplify right side
1,679,877,884,908.90x = 2,175,163,117,806,523,911,241,728 - Step 5: Solve for x
x = 2,175,163,117,806,523,911,241,728/1,679,877,884,908.90 - Step 6: Final answer
x = 1,294,834,069,396.95
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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.