Finding the Fourth Proportional to 42,960,282,402,327, 59,296,220,306,411 and 27,980,349,473,365
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Solution
The fourth proportional to 42,960,282,402,327, 59,296,220,306,411 and 27,980,349,473,365 is: 38,620,066,578,825.68
Step by Step Solution
- Step 1: Write the proportion equation
42,960,282,402,327 : 59,296,220,306,411 = 27,980,349,473,365 : x - Step 2: Convert to fraction form
42,960,282,402,327/59,296,220,306,411 = 27,980,349,473,365/x - Step 3: Cross multiply
42,960,282,402,327x = 59,296,220,306,411 × 27,980,349,473,365 - Step 4: Simplify right side
42,960,282,402,327x = 1,659,128,966,623,021,997,523,730,432 - Step 5: Solve for x
x = 1,659,128,966,623,021,997,523,730,432/42,960,282,402,327 - Step 6: Final answer
x = 38,620,066,578,825.68
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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.