Finding the Fourth Proportional to 524,296,394,699.60, 723,530,282,373 and 283,710,852,652.88
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Solution
The fourth proportional to 524,296,394,699.60, 723,530,282,373 and 283,710,852,652.88 is: 391,521,657,229.47
Step by Step Solution
- Step 1: Write the proportion equation
524,296,394,699.60 : 723,530,282,373 = 283,710,852,652.88 : x - Step 2: Convert to fraction form
524,296,394,699.60/723,530,282,373 = 283,710,852,652.88/x - Step 3: Cross multiply
524,296,394,699.60x = 723,530,282,373 × 283,710,852,652.88 - Step 4: Simplify right side
524,296,394,699.60x = 205,273,393,332,222,859,149,312 - Step 5: Solve for x
x = 205,273,393,332,222,859,149,312/524,296,394,699.60 - Step 6: Final answer
x = 391,521,657,229.47
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.