Finding the Fourth Proportional to 1,312,031,424,436.20, 1,965,898,000,942.80 and 698,759,865,109.23
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Solution
The fourth proportional to 1,312,031,424,436.20, 1,965,898,000,942.80 and 698,759,865,109.23 is: 1,046,995,213,965.70
Step by Step Solution
- Step 1: Write the proportion equation
1,312,031,424,436.20 : 1,965,898,000,942.80 = 698,759,865,109.23 : x - Step 2: Convert to fraction form
1,312,031,424,436.20/1,965,898,000,942.80 = 698,759,865,109.23/x - Step 3: Cross multiply
1,312,031,424,436.20x = 1,965,898,000,942.80 × 698,759,865,109.23 - Step 4: Simplify right side
1,312,031,424,436.20x = 1,373,690,621,957,295,845,670,912 - Step 5: Solve for x
x = 1,373,690,621,957,295,845,670,912/1,312,031,424,436.20 - Step 6: Final answer
x = 1,046,995,213,965.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.