Finding the Fourth Proportional to 292,284,291,629.20, 408,316,411,434.80 and 292,284,291,629.20
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Solution
The fourth proportional to 292,284,291,629.20, 408,316,411,434.80 and 292,284,291,629.20 is: 408,316,411,434.80
Step by Step Solution
- Step 1: Write the proportion equation
292,284,291,629.20 : 408,316,411,434.80 = 292,284,291,629.20 : x - Step 2: Convert to fraction form
292,284,291,629.20/408,316,411,434.80 = 292,284,291,629.20/x - Step 3: Cross multiply
292,284,291,629.20x = 408,316,411,434.80 × 292,284,291,629.20 - Step 4: Simplify right side
292,284,291,629.20x = 119,344,473,076,797,496,360,960 - Step 5: Solve for x
x = 119,344,473,076,797,496,360,960/292,284,291,629.20 - Step 6: Final answer
x = 408,316,411,434.80
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.