Finding the Fourth Proportional to 298,971,077,516.09, 448,457,779,752.66 and 72,330,165,893.84
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Solution
The fourth proportional to 298,971,077,516.09, 448,457,779,752.66 and 72,330,165,893.84 is: 108,495,530,321.47
Step by Step Solution
- Step 1: Write the proportion equation
298,971,077,516.09 : 448,457,779,752.66 = 72,330,165,893.84 : x - Step 2: Convert to fraction form
298,971,077,516.09/448,457,779,752.66 = 72,330,165,893.84/x - Step 3: Cross multiply
298,971,077,516.09x = 448,457,779,752.66 × 72,330,165,893.84 - Step 4: Simplify right side
298,971,077,516.09x = 32,437,025,605,890,816,868,352 - Step 5: Solve for x
x = 32,437,025,605,890,816,868,352/298,971,077,516.09 - Step 6: Final answer
x = 108,495,530,321.47
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.