Finding the Fourth Proportional to 12,799,930,960,899, 17,663,922,218,022 and 6,947,038,303,570.20
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Solution
The fourth proportional to 12,799,930,960,899, 17,663,922,218,022 and 6,947,038,303,570.20 is: 9,586,922,352,530.01
Step by Step Solution
- Step 1: Write the proportion equation
12,799,930,960,899 : 17,663,922,218,022 = 6,947,038,303,570.20 : x - Step 2: Convert to fraction form
12,799,930,960,899/17,663,922,218,022 = 6,947,038,303,570.20/x - Step 3: Cross multiply
12,799,930,960,899x = 17,663,922,218,022 × 6,947,038,303,570.20 - Step 4: Simplify right side
12,799,930,960,899x = 122,711,944,239,883,521,506,672,640 - Step 5: Solve for x
x = 122,711,944,239,883,521,506,672,640/12,799,930,960,899 - Step 6: Final answer
x = 9,586,922,352,530.01
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1.5x scale
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.