Finding the Fourth Proportional to 52,382,603,169.88, 72,301,442,264.62 and 34,117,176,644.68
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Solution
The fourth proportional to 52,382,603,169.88, 72,301,442,264.62 and 34,117,176,644.68 is: 47,090,463,782.55
Step by Step Solution
- Step 1: Write the proportion equation
52,382,603,169.88 : 72,301,442,264.62 = 34,117,176,644.68 : x - Step 2: Convert to fraction form
52,382,603,169.88/72,301,442,264.62 = 34,117,176,644.68/x - Step 3: Cross multiply
52,382,603,169.88x = 72,301,442,264.62 × 34,117,176,644.68 - Step 4: Simplify right side
52,382,603,169.88x = 2,466,721,077,407,172,788,224 - Step 5: Solve for x
x = 2,466,721,077,407,172,788,224/52,382,603,169.88 - Step 6: Final answer
x = 47,090,463,782.55
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1.5x scale
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.