Finding the Fourth Proportional to 463,574,015,997.60, 695,361,023,996.40 and 132,703,100,925.60
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Solution
The fourth proportional to 463,574,015,997.60, 695,361,023,996.40 and 132,703,100,925.60 is: 199,054,651,388.40
Step by Step Solution
- Step 1: Write the proportion equation
463,574,015,997.60 : 695,361,023,996.40 = 132,703,100,925.60 : x - Step 2: Convert to fraction form
463,574,015,997.60/695,361,023,996.40 = 132,703,100,925.60/x - Step 3: Cross multiply
463,574,015,997.60x = 695,361,023,996.40 × 132,703,100,925.60 - Step 4: Simplify right side
463,574,015,997.60x = 92,276,564,147,122,835,816,448 - Step 5: Solve for x
x = 92,276,564,147,122,835,816,448/463,574,015,997.60 - Step 6: Final answer
x = 199,054,651,388.40
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1.5x scale
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.