Finding the Fourth Proportional to 110,523,514,802.62, 152,522,449,246.65 and 59,774,457,466.09
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Solution
The fourth proportional to 110,523,514,802.62, 152,522,449,246.65 and 59,774,457,466.09 is: 82,488,750,664.50
Step by Step Solution
- Step 1: Write the proportion equation
110,523,514,802.62 : 152,522,449,246.65 = 59,774,457,466.09 : x - Step 2: Convert to fraction form
110,523,514,802.62/152,522,449,246.65 = 59,774,457,466.09/x - Step 3: Cross multiply
110,523,514,802.62x = 152,522,449,246.65 × 59,774,457,466.09 - Step 4: Simplify right side
110,523,514,802.62x = 9,116,946,655,117,750,304,768 - Step 5: Solve for x
x = 9,116,946,655,117,750,304,768/110,523,514,802.62 - Step 6: Final answer
x = 82,488,750,664.50
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1.5x scale
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.