Finding the Fourth Proportional to 42,960,282,402,326, 59,296,220,306,410 and 27,980,349,473,364
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Solution
The fourth proportional to 42,960,282,402,326, 59,296,220,306,410 and 27,980,349,473,364 is: 38,620,066,578,824.55
Step by Step Solution
- Step 1: Write the proportion equation
42,960,282,402,326 : 59,296,220,306,410 = 27,980,349,473,364 : x - Step 2: Convert to fraction form
42,960,282,402,326/59,296,220,306,410 = 27,980,349,473,364/x - Step 3: Cross multiply
42,960,282,402,326x = 59,296,220,306,410 × 27,980,349,473,364 - Step 4: Simplify right side
42,960,282,402,326x = 1,659,128,966,622,934,861,227,229,184 - Step 5: Solve for x
x = 1,659,128,966,622,934,861,227,229,184/42,960,282,402,326 - Step 6: Final answer
x = 38,620,066,578,824.55
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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.