Finding the Fourth Proportional to 30,688,296,071,823, 46,032,444,639,542 and 7,453,942,086,214.60
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Solution
The fourth proportional to 30,688,296,071,823, 46,032,444,639,542 and 7,453,942,086,214.60 is: 11,180,913,258,493.70
Step by Step Solution
- Step 1: Write the proportion equation
30,688,296,071,823 : 46,032,444,639,542 = 7,453,942,086,214.60 : x - Step 2: Convert to fraction form
30,688,296,071,823/46,032,444,639,542 = 7,453,942,086,214.60/x - Step 3: Cross multiply
30,688,296,071,823x = 46,032,444,639,542 × 7,453,942,086,214.60 - Step 4: Simplify right side
30,688,296,071,823x = 343,123,176,430,025,767,521,353,728 - Step 5: Solve for x
x = 343,123,176,430,025,767,521,353,728/30,688,296,071,823 - Step 6: Final answer
x = 11,180,913,258,493.70
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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.