Finding the Fourth Proportional to 1,197,104,584,383, 1,651,991,165,724 and 648,382,239,074.52
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Solution
The fourth proportional to 1,197,104,584,383, 1,651,991,165,724 and 648,382,239,074.52 is: 894,760,361,740.26
Step by Step Solution
- Step 1: Write the proportion equation
1,197,104,584,383 : 1,651,991,165,724 = 648,382,239,074.52 : x - Step 2: Convert to fraction form
1,197,104,584,383/1,651,991,165,724 = 648,382,239,074.52/x - Step 3: Cross multiply
1,197,104,584,383x = 1,651,991,165,724 × 648,382,239,074.52 - Step 4: Simplify right side
1,197,104,584,383x = 1,071,121,730,963,453,578,838,016 - Step 5: Solve for x
x = 1,071,121,730,963,453,578,838,016/1,197,104,584,383 - Step 6: Final answer
x = 894,760,361,740.26
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.