Finding the Fourth Proportional to 749,273,078,312.20, 1,121,973,988,340.90 and 517,122,453,665.95
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Solution
The fourth proportional to 749,273,078,312.20, 1,121,973,988,340.90 and 517,122,453,665.95 is: 774,347,775,989.98
Step by Step Solution
- Step 1: Write the proportion equation
749,273,078,312.20 : 1,121,973,988,340.90 = 517,122,453,665.95 : x - Step 2: Convert to fraction form
749,273,078,312.20/1,121,973,988,340.90 = 517,122,453,665.95/x - Step 3: Cross multiply
749,273,078,312.20x = 1,121,973,988,340.90 × 517,122,453,665.95 - Step 4: Simplify right side
749,273,078,312.20x = 580,197,941,800,218,172,325,888 - Step 5: Solve for x
x = 580,197,941,800,218,172,325,888/749,273,078,312.20 - Step 6: Final answer
x = 774,347,775,989.98
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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.