Finding the Fourth Proportional to 714,837,932,496.40, 986,440,694,038.08 and 406,148,517,115.99
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Solution
The fourth proportional to 714,837,932,496.40, 986,440,694,038.08 and 406,148,517,115.99 is: 560,464,696,812.17
Step by Step Solution
- Step 1: Write the proportion equation
714,837,932,496.40 : 986,440,694,038.08 = 406,148,517,115.99 : x - Step 2: Convert to fraction form
714,837,932,496.40/986,440,694,038.08 = 406,148,517,115.99/x - Step 3: Cross multiply
714,837,932,496.40x = 986,440,694,038.08 × 406,148,517,115.99 - Step 4: Simplify right side
714,837,932,496.40x = 400,641,425,106,434,172,911,616 - Step 5: Solve for x
x = 400,641,425,106,434,172,911,616/714,837,932,496.40 - Step 6: Final answer
x = 560,464,696,812.17
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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.