Finding the Fourth Proportional to 148,055,920,025.79, 204,317,169,635.58 and 84,691,146,713.79
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Solution
The fourth proportional to 148,055,920,025.79, 204,317,169,635.58 and 84,691,146,713.79 is: 116,873,782,465.02
Step by Step Solution
- Step 1: Write the proportion equation
148,055,920,025.79 : 204,317,169,635.58 = 84,691,146,713.79 : x - Step 2: Convert to fraction form
148,055,920,025.79/204,317,169,635.58 = 84,691,146,713.79/x - Step 3: Cross multiply
148,055,920,025.79x = 204,317,169,635.58 × 84,691,146,713.79 - Step 4: Simplify right side
148,055,920,025.79x = 17,303,855,389,753,223,413,760 - Step 5: Solve for x
x = 17,303,855,389,753,223,413,760/148,055,920,025.79 - Step 6: Final answer
x = 116,873,782,465.02
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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.