Finding the Fourth Proportional to 440,048,484,348.24, 660,071,902,591.92 and 137,884,219,106.12
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Solution
The fourth proportional to 440,048,484,348.24, 660,071,902,591.92 and 137,884,219,106.12 is: 206,826,070,489.89
Step by Step Solution
- Step 1: Write the proportion equation
440,048,484,348.24 : 660,071,902,591.92 = 137,884,219,106.12 : x - Step 2: Convert to fraction form
440,048,484,348.24/660,071,902,591.92 = 137,884,219,106.12/x - Step 3: Cross multiply
440,048,484,348.24x = 660,071,902,591.92 × 137,884,219,106.12 - Step 4: Simplify right side
440,048,484,348.24x = 91,013,498,842,777,791,758,336 - Step 5: Solve for x
x = 91,013,498,842,777,791,758,336/440,048,484,348.24 - Step 6: Final answer
x = 206,826,070,489.89
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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.