Finding the Fourth Proportional to 1,411,190,349.81, 2,117,270,824.86 and 829,411,336.05
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Solution
The fourth proportional to 1,411,190,349.81, 2,117,270,824.86 and 829,411,336.05 is: 1,244,402,233.80
Step by Step Solution
- Step 1: Write the proportion equation
1,411,190,349.81 : 2,117,270,824.86 = 829,411,336.05 : x - Step 2: Convert to fraction form
1,411,190,349.81/2,117,270,824.86 = 829,411,336.05/x - Step 3: Cross multiply
1,411,190,349.81x = 2,117,270,824.86 × 829,411,336.05 - Step 4: Simplify right side
1,411,190,349.81x = 1,756,088,423,626,818,048 - Step 5: Solve for x
x = 1,756,088,423,626,818,048/1,411,190,349.81 - Step 6: Final answer
x = 1,244,402,233.80
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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.