Finding the Fourth Proportional to 7,425,178,684,232.80, 10,246,747,076,909 and 4,132,855,858,926.40
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Solution
The fourth proportional to 7,425,178,684,232.80, 10,246,747,076,909 and 4,132,855,858,926.40 is: 5,703,341,359,537.39
Step by Step Solution
- Step 1: Write the proportion equation
7,425,178,684,232.80 : 10,246,747,076,909 = 4,132,855,858,926.40 : x - Step 2: Convert to fraction form
7,425,178,684,232.80/10,246,747,076,909 = 4,132,855,858,926.40/x - Step 3: Cross multiply
7,425,178,684,232.80x = 10,246,747,076,909 × 4,132,855,858,926.40 - Step 4: Simplify right side
7,425,178,684,232.80x = 42,348,328,691,740,322,314,584,064 - Step 5: Solve for x
x = 42,348,328,691,740,322,314,584,064/7,425,178,684,232.80 - Step 6: Final answer
x = 5,703,341,359,537.39
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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.