Finding the Fourth Proportional to 39,962,341,762,107, 59,901,205,652,586 and 13,442,009,078,870
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Solution
The fourth proportional to 39,962,341,762,107, 59,901,205,652,586 and 13,442,009,078,870 is: 20,148,782,946,969.79
Step by Step Solution
- Step 1: Write the proportion equation
39,962,341,762,107 : 59,901,205,652,586 = 13,442,009,078,870 : x - Step 2: Convert to fraction form
39,962,341,762,107/59,901,205,652,586 = 13,442,009,078,870/x - Step 3: Cross multiply
39,962,341,762,107x = 59,901,205,652,586 × 13,442,009,078,870 - Step 4: Simplify right side
39,962,341,762,107x = 805,192,550,217,320,002,811,330,560 - Step 5: Solve for x
x = 805,192,550,217,320,002,811,330,560/39,962,341,762,107 - Step 6: Final answer
x = 20,148,782,946,969.79
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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.