Finding the Fourth Proportional to 680,804,352,191.80, 1,021,206,528,287.70 and 256,331,796,671.80
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Solution
The fourth proportional to 680,804,352,191.80, 1,021,206,528,287.70 and 256,331,796,671.80 is: 384,497,695,007.70
Step by Step Solution
- Step 1: Write the proportion equation
680,804,352,191.80 : 1,021,206,528,287.70 = 256,331,796,671.80 : x - Step 2: Convert to fraction form
680,804,352,191.80/1,021,206,528,287.70 = 256,331,796,671.80/x - Step 3: Cross multiply
680,804,352,191.80x = 1,021,206,528,287.70 × 256,331,796,671.80 - Step 4: Simplify right side
680,804,352,191.80x = 261,767,704,168,957,476,864,000 - Step 5: Solve for x
x = 261,767,704,168,957,476,864,000/680,804,352,191.80 - Step 6: Final answer
x = 384,497,695,007.70
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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.