Finding the Fourth Proportional to 180,382,847,355.97, 248,928,492,502.57 and 99,097,935,962.09
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Solution
The fourth proportional to 180,382,847,355.97, 248,928,492,502.57 and 99,097,935,962.09 is: 136,755,241,259.04
Step by Step Solution
- Step 1: Write the proportion equation
180,382,847,355.97 : 248,928,492,502.57 = 99,097,935,962.09 : x - Step 2: Convert to fraction form
180,382,847,355.97/248,928,492,502.57 = 99,097,935,962.09/x - Step 3: Cross multiply
180,382,847,355.97x = 248,928,492,502.57 × 99,097,935,962.09 - Step 4: Simplify right side
180,382,847,355.97x = 24,668,299,809,158,038,814,720 - Step 5: Solve for x
x = 24,668,299,809,158,038,814,720/180,382,847,355.97 - Step 6: Final answer
x = 136,755,241,259.04
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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.