Finding the Fourth Proportional to 770,913,957,219.06, 1,063,886,774,581.20 and 423,696,543,415.26
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Solution
The fourth proportional to 770,913,957,219.06, 1,063,886,774,581.20 and 423,696,543,415.26 is: 584,715,252,271.89
Step by Step Solution
- Step 1: Write the proportion equation
770,913,957,219.06 : 1,063,886,774,581.20 = 423,696,543,415.26 : x - Step 2: Convert to fraction form
770,913,957,219.06/1,063,886,774,581.20 = 423,696,543,415.26/x - Step 3: Cross multiply
770,913,957,219.06x = 1,063,886,774,581.20 × 423,696,543,415.26 - Step 4: Simplify right side
770,913,957,219.06x = 450,765,148,975,264,300,007,424 - Step 5: Solve for x
x = 450,765,148,975,264,300,007,424/770,913,957,219.06 - Step 6: Final answer
x = 584,715,252,271.89
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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.