Finding the Fourth Proportional to 308,319,061,821.24, 462,476,727,373.99 and 167,722,014,027.10
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Solution
The fourth proportional to 308,319,061,821.24, 462,476,727,373.99 and 167,722,014,027.10 is: 251,582,006,307.48
Step by Step Solution
- Step 1: Write the proportion equation
308,319,061,821.24 : 462,476,727,373.99 = 167,722,014,027.10 : x - Step 2: Convert to fraction form
308,319,061,821.24/462,476,727,373.99 = 167,722,014,027.10/x - Step 3: Cross multiply
308,319,061,821.24x = 462,476,727,373.99 × 167,722,014,027.10 - Step 4: Simplify right side
308,319,061,821.24x = 77,567,528,155,827,654,361,088 - Step 5: Solve for x
x = 77,567,528,155,827,654,361,088/308,319,061,821.24 - Step 6: Final answer
x = 251,582,006,307.48
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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.