Finding the Fourth Proportional to 7,700,444,611,853, 10,626,868,412,784 and 4,232,186,658,636.80
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Solution
The fourth proportional to 7,700,444,611,853, 10,626,868,412,784 and 4,232,186,658,636.80 is: 5,840,557,654,352.21
Step by Step Solution
- Step 1: Write the proportion equation
7,700,444,611,853 : 10,626,868,412,784 = 4,232,186,658,636.80 : x - Step 2: Convert to fraction form
7,700,444,611,853/10,626,868,412,784 = 4,232,186,658,636.80/x - Step 3: Cross multiply
7,700,444,611,853x = 10,626,868,412,784 × 4,232,186,658,636.80 - Step 4: Simplify right side
7,700,444,611,853x = 44,974,890,719,673,272,967,888,896 - Step 5: Solve for x
x = 44,974,890,719,673,272,967,888,896/7,700,444,611,853 - Step 6: Final answer
x = 5,840,557,654,352.21
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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.