Finding the Fourth Proportional to 298,971,077,518.41, 448,457,779,756.14 and 72,330,165,896.15
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Solution
The fourth proportional to 298,971,077,518.41, 448,457,779,756.14 and 72,330,165,896.15 is: 108,495,530,324.95
Step by Step Solution
- Step 1: Write the proportion equation
298,971,077,518.41 : 448,457,779,756.14 = 72,330,165,896.15 : x - Step 2: Convert to fraction form
298,971,077,518.41/448,457,779,756.14 = 72,330,165,896.15/x - Step 3: Cross multiply
298,971,077,518.41x = 448,457,779,756.14 × 72,330,165,896.15 - Step 4: Simplify right side
298,971,077,518.41x = 32,437,025,607,180,703,760,384 - Step 5: Solve for x
x = 32,437,025,607,180,703,760,384/298,971,077,518.41 - Step 6: Final answer
x = 108,495,530,324.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.