Finding the Fourth Proportional to 322,748,790,327.22, 445,393,499,732.40 and 176,263,257,121.70
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Solution
The fourth proportional to 322,748,790,327.22, 445,393,499,732.40 and 176,263,257,121.70 is: 243,243,387,168.30
Step by Step Solution
- Step 1: Write the proportion equation
322,748,790,327.22 : 445,393,499,732.40 = 176,263,257,121.70 : x - Step 2: Convert to fraction form
322,748,790,327.22/445,393,499,732.40 = 176,263,257,121.70/x - Step 3: Cross multiply
322,748,790,327.22x = 445,393,499,732.40 × 176,263,257,121.70 - Step 4: Simplify right side
322,748,790,327.22x = 78,506,508,963,665,850,400,768 - Step 5: Solve for x
x = 78,506,508,963,665,850,400,768/322,748,790,327.22 - Step 6: Final answer
x = 243,243,387,168.30
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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.