Finding the Fourth Proportional to 270,877,032,249.30, 406,047,162,751.65 and 127,198,862,440.02
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Solution
The fourth proportional to 270,877,032,249.30, 406,047,162,751.65 and 127,198,862,440.02 is: 190,672,264,717.79
Step by Step Solution
- Step 1: Write the proportion equation
270,877,032,249.30 : 406,047,162,751.65 = 127,198,862,440.02 : x - Step 2: Convert to fraction form
270,877,032,249.30/406,047,162,751.65 = 127,198,862,440.02/x - Step 3: Cross multiply
270,877,032,249.30x = 406,047,162,751.65 × 127,198,862,440.02 - Step 4: Simplify right side
270,877,032,249.30x = 51,648,737,199,007,545,163,776 - Step 5: Solve for x
x = 51,648,737,199,007,545,163,776/270,877,032,249.30 - Step 6: Final answer
x = 190,672,264,717.79
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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.