Finding the Fourth Proportional to 710,713,268,467.92, 1,066,032,356,350.60 and 233,119,656,229.68
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Solution
The fourth proportional to 710,713,268,467.92, 1,066,032,356,350.60 and 233,119,656,229.68 is: 349,667,168,839.95
Step by Step Solution
- Step 1: Write the proportion equation
710,713,268,467.92 : 1,066,032,356,350.60 = 233,119,656,229.68 : x - Step 2: Convert to fraction form
710,713,268,467.92/1,066,032,356,350.60 = 233,119,656,229.68/x - Step 3: Cross multiply
710,713,268,467.92x = 1,066,032,356,350.60 × 233,119,656,229.68 - Step 4: Simplify right side
710,713,268,467.92x = 248,513,096,442,167,573,872,640 - Step 5: Solve for x
x = 248,513,096,442,167,573,872,640/710,713,268,467.92 - Step 6: Final answer
x = 349,667,168,839.95
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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.