Finding the Fourth Proportional to 1,283,827,932.16, 1,924,397,841.27 and 537,271,440.09
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Solution
The fourth proportional to 1,283,827,932.16, 1,924,397,841.27 and 537,271,440.09 is: 805,344,683.34
Step by Step Solution
- Step 1: Write the proportion equation
1,283,827,932.16 : 1,924,397,841.27 = 537,271,440.09 : x - Step 2: Convert to fraction form
1,283,827,932.16/1,924,397,841.27 = 537,271,440.09/x - Step 3: Cross multiply
1,283,827,932.16x = 1,924,397,841.27 × 537,271,440.09 - Step 4: Simplify right side
1,283,827,932.16x = 1,033,923,999,486,308,864 - Step 5: Solve for x
x = 1,033,923,999,486,308,864/1,283,827,932.16 - Step 6: Final answer
x = 805,344,683.34
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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.