Finding the Fourth Proportional to 1,312,031,424,432.80, 1,965,898,000,937.70 and 698,759,865,105.63
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Solution
The fourth proportional to 1,312,031,424,432.80, 1,965,898,000,937.70 and 698,759,865,105.63 is: 1,046,995,213,960.30
Step by Step Solution
- Step 1: Write the proportion equation
1,312,031,424,432.80 : 1,965,898,000,937.70 = 698,759,865,105.63 : x - Step 2: Convert to fraction form
1,312,031,424,432.80/1,965,898,000,937.70 = 698,759,865,105.63/x - Step 3: Cross multiply
1,312,031,424,432.80x = 1,965,898,000,937.70 × 698,759,865,105.63 - Step 4: Simplify right side
1,312,031,424,432.80x = 1,373,690,621,946,654,795,759,616 - Step 5: Solve for x
x = 1,373,690,621,946,654,795,759,616/1,312,031,424,432.80 - Step 6: Final answer
x = 1,046,995,213,960.30
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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.