Finding the Fourth Proportional to 85,263,121,280.24, 117,658,445,876.43 and 46,674,576,160.64
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Solution
The fourth proportional to 85,263,121,280.24, 117,658,445,876.43 and 46,674,576,160.64 is: 64,408,363,317.50
Step by Step Solution
- Step 1: Write the proportion equation
85,263,121,280.24 : 117,658,445,876.43 = 46,674,576,160.64 : x - Step 2: Convert to fraction form
85,263,121,280.24/117,658,445,876.43 = 46,674,576,160.64/x - Step 3: Cross multiply
85,263,121,280.24x = 117,658,445,876.43 × 46,674,576,160.64 - Step 4: Simplify right side
85,263,121,280.24x = 5,491,658,093,001,735,929,856 - Step 5: Solve for x
x = 5,491,658,093,001,735,929,856/85,263,121,280.24 - Step 6: Final answer
x = 64,408,363,317.50
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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.