Finding the Fourth Proportional to 106,184,413,320.36, 146,534,549,165.50 and 57,355,233,539.94
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Solution
The fourth proportional to 106,184,413,320.36, 146,534,549,165.50 and 57,355,233,539.94 is: 79,150,254,036.82
Step by Step Solution
- Step 1: Write the proportion equation
106,184,413,320.36 : 146,534,549,165.50 = 57,355,233,539.94 : x - Step 2: Convert to fraction form
106,184,413,320.36/146,534,549,165.50 = 57,355,233,539.94/x - Step 3: Cross multiply
106,184,413,320.36x = 146,534,549,165.50 × 57,355,233,539.94 - Step 4: Simplify right side
106,184,413,320.36x = 8,404,523,289,057,073,037,312 - Step 5: Solve for x
x = 8,404,523,289,057,073,037,312/106,184,413,320.36 - Step 6: Final answer
x = 79,150,254,036.82
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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.