Finding the Fourth Proportional to 671,797,531,202.08, 1,008,413,402,415.50 and 289,530,256,818.84
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Solution
The fourth proportional to 671,797,531,202.08, 1,008,413,402,415.50 and 289,530,256,818.84 is: 434,604,442,291.55
Step by Step Solution
- Step 1: Write the proportion equation
671,797,531,202.08 : 1,008,413,402,415.50 = 289,530,256,818.84 : x - Step 2: Convert to fraction form
671,797,531,202.08/1,008,413,402,415.50 = 289,530,256,818.84/x - Step 3: Cross multiply
671,797,531,202.08x = 1,008,413,402,415.50 × 289,530,256,818.84 - Step 4: Simplify right side
671,797,531,202.08x = 291,966,191,380,919,989,829,632 - Step 5: Solve for x
x = 291,966,191,380,919,989,829,632/671,797,531,202.08 - Step 6: Final answer
x = 434,604,442,291.55
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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.