Finding the Fourth Proportional to 2,407,664,405,257.60, 3,611,835,864,812.20 and 773,461,925,101.35
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Solution
The fourth proportional to 2,407,664,405,257.60, 3,611,835,864,812.20 and 773,461,925,101.35 is: 1,160,301,873,902.09
Step by Step Solution
- Step 1: Write the proportion equation
2,407,664,405,257.60 : 3,611,835,864,812.20 = 773,461,925,101.35 : x - Step 2: Convert to fraction form
2,407,664,405,257.60/3,611,835,864,812.20 = 773,461,925,101.35/x - Step 3: Cross multiply
2,407,664,405,257.60x = 3,611,835,864,812.20 × 773,461,925,101.35 - Step 4: Simplify right side
2,407,664,405,257.60x = 2,793,617,521,147,743,525,928,960 - Step 5: Solve for x
x = 2,793,617,521,147,743,525,928,960/2,407,664,405,257.60 - Step 6: Final answer
x = 1,160,301,873,902.09
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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.