Finding the Fourth Proportional to 34,842,642,297,315, 52,238,197,877,448 and 21,071,167,374,334
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Solution
The fourth proportional to 34,842,642,297,315, 52,238,197,877,448 and 21,071,167,374,334 is: 31,591,169,275,187.50
Step by Step Solution
- Step 1: Write the proportion equation
34,842,642,297,315 : 52,238,197,877,448 = 21,071,167,374,334 : x - Step 2: Convert to fraction form
34,842,642,297,315/52,238,197,877,448 = 21,071,167,374,334/x - Step 3: Cross multiply
34,842,642,297,315x = 52,238,197,877,448 × 21,071,167,374,334 - Step 4: Simplify right side
34,842,642,297,315x = 1,100,719,810,809,285,931,389,943,808 - Step 5: Solve for x
x = 1,100,719,810,809,285,931,389,943,808/34,842,642,297,315 - Step 6: Final answer
x = 31,591,169,275,187.50
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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.