Finding the Fourth Proportional to 488,318,311,551.69, 732,560,916,040.65 and 201,319,479,876.74
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Solution
The fourth proportional to 488,318,311,551.69, 732,560,916,040.65 and 201,319,479,876.74 is: 302,013,623,299.73
Step by Step Solution
- Step 1: Write the proportion equation
488,318,311,551.69 : 732,560,916,040.65 = 201,319,479,876.74 : x - Step 2: Convert to fraction form
488,318,311,551.69/732,560,916,040.65 = 201,319,479,876.74/x - Step 3: Cross multiply
488,318,311,551.69x = 732,560,916,040.65 × 201,319,479,876.74 - Step 4: Simplify right side
488,318,311,551.69x = 147,478,782,595,331,860,201,472 - Step 5: Solve for x
x = 147,478,782,595,331,860,201,472/488,318,311,551.69 - Step 6: Final answer
x = 302,013,623,299.73
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.