Finding the Fourth Proportional to 42,960,282,402,326, 59,296,220,306,418 and 27,980,349,473,366
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Solution
The fourth proportional to 42,960,282,402,326, 59,296,220,306,418 and 27,980,349,473,366 is: 38,620,066,578,832.52
Step by Step Solution
- Step 1: Write the proportion equation
42,960,282,402,326 : 59,296,220,306,418 = 27,980,349,473,366 : x - Step 2: Convert to fraction form
42,960,282,402,326/59,296,220,306,418 = 27,980,349,473,366/x - Step 3: Cross multiply
42,960,282,402,326x = 59,296,220,306,418 × 27,980,349,473,366 - Step 4: Simplify right side
42,960,282,402,326x = 1,659,128,966,623,277,084,221,374,464 - Step 5: Solve for x
x = 1,659,128,966,623,277,084,221,374,464/42,960,282,402,326 - Step 6: Final answer
x = 38,620,066,578,832.52
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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.