Finding the Fourth Proportional to 946,837,826,609.95, 1,420,113,238,186.40 and 257,693,533,889.62
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Solution
The fourth proportional to 946,837,826,609.95, 1,420,113,238,186.40 and 257,693,533,889.62 is: 386,501,245,077.99
Step by Step Solution
- Step 1: Write the proportion equation
946,837,826,609.95 : 1,420,113,238,186.40 = 257,693,533,889.62 : x - Step 2: Convert to fraction form
946,837,826,609.95/1,420,113,238,186.40 = 257,693,533,889.62/x - Step 3: Cross multiply
946,837,826,609.95x = 1,420,113,238,186.40 × 257,693,533,889.62 - Step 4: Simplify right side
946,837,826,609.95x = 365,953,998,871,685,033,361,408 - Step 5: Solve for x
x = 365,953,998,871,685,033,361,408/946,837,826,609.95 - Step 6: Final answer
x = 386,501,245,077.99
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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.