Finding the Fourth Proportional to 68,464,946,665.12, 102,704,457,023.84 and 23,696,370,277.20
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Solution
The fourth proportional to 68,464,946,665.12, 102,704,457,023.84 and 23,696,370,277.20 is: 35,546,990,997.59
Step by Step Solution
- Step 1: Write the proportion equation
68,464,946,665.12 : 102,704,457,023.84 = 23,696,370,277.20 : x - Step 2: Convert to fraction form
68,464,946,665.12/102,704,457,023.84 = 23,696,370,277.20/x - Step 3: Cross multiply
68,464,946,665.12x = 102,704,457,023.84 × 23,696,370,277.20 - Step 4: Simplify right side
68,464,946,665.12x = 2,433,722,842,755,686,727,680 - Step 5: Solve for x
x = 2,433,722,842,755,686,727,680/68,464,946,665.12 - Step 6: Final answer
x = 35,546,990,997.59
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.