Finding the Fourth Proportional to 292,284,291,627.70, 408,316,411,432.70 and 292,284,291,627.70
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Solution
The fourth proportional to 292,284,291,627.70, 408,316,411,432.70 and 292,284,291,627.70 is: 408,316,411,432.70
Step by Step Solution
- Step 1: Write the proportion equation
292,284,291,627.70 : 408,316,411,432.70 = 292,284,291,627.70 : x - Step 2: Convert to fraction form
292,284,291,627.70/408,316,411,432.70 = 292,284,291,627.70/x - Step 3: Cross multiply
292,284,291,627.70x = 408,316,411,432.70 × 292,284,291,627.70 - Step 4: Simplify right side
292,284,291,627.70x = 119,344,473,075,571,232,866,304 - Step 5: Solve for x
x = 119,344,473,075,571,232,866,304/292,284,291,627.70 - Step 6: Final answer
x = 408,316,411,432.70
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.