Finding the Fourth Proportional to 268,514,569,297.08, 370,558,875,892.14 and 146,585,805,180.12
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Solution
The fourth proportional to 268,514,569,297.08, 370,558,875,892.14 and 146,585,805,180.12 is: 202,293,198,955.59
Step by Step Solution
- Step 1: Write the proportion equation
268,514,569,297.08 : 370,558,875,892.14 = 146,585,805,180.12 : x - Step 2: Convert to fraction form
268,514,569,297.08/370,558,875,892.14 = 146,585,805,180.12/x - Step 3: Cross multiply
268,514,569,297.08x = 370,558,875,892.14 × 146,585,805,180.12 - Step 4: Simplify right side
268,514,569,297.08x = 54,318,671,189,289,497,264,128 - Step 5: Solve for x
x = 54,318,671,189,289,497,264,128/268,514,569,297.08 - Step 6: Final answer
x = 202,293,198,955.59
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1.5x scale
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.