Finding the Fourth Proportional to 206,938,294,743.20, 310,407,442,114.80 and 202,289,248,875.20
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Solution
The fourth proportional to 206,938,294,743.20, 310,407,442,114.80 and 202,289,248,875.20 is: 303,433,873,312.80
Step by Step Solution
- Step 1: Write the proportion equation
206,938,294,743.20 : 310,407,442,114.80 = 202,289,248,875.20 : x - Step 2: Convert to fraction form
206,938,294,743.20/310,407,442,114.80 = 202,289,248,875.20/x - Step 3: Cross multiply
206,938,294,743.20x = 310,407,442,114.80 × 202,289,248,875.20 - Step 4: Simplify right side
206,938,294,743.20x = 62,792,088,310,675,018,874,880 - Step 5: Solve for x
x = 62,792,088,310,675,018,874,880/206,938,294,743.20 - Step 6: Final answer
x = 303,433,873,312.80
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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.