Finding the Fourth Proportional to 382,188,662,391.96, 527,433,021,617.98 and 208,583,307,513
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Solution
The fourth proportional to 382,188,662,391.96, 527,433,021,617.98 and 208,583,307,513 is: 287,851,877,792.83
Step by Step Solution
- Step 1: Write the proportion equation
382,188,662,391.96 : 527,433,021,617.98 = 208,583,307,513 : x - Step 2: Convert to fraction form
382,188,662,391.96/527,433,021,617.98 = 208,583,307,513/x - Step 3: Cross multiply
382,188,662,391.96x = 527,433,021,617.98 × 208,583,307,513 - Step 4: Simplify right side
382,188,662,391.96x = 110,013,724,140,653,900,726,272 - Step 5: Solve for x
x = 110,013,724,140,653,900,726,272/382,188,662,391.96 - Step 6: Final answer
x = 287,851,877,792.83
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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.