Finding the Fourth Proportional to 4,875,315,489.47, 6,727,936,347.61 and 2,970,076,895.14
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Solution
The fourth proportional to 4,875,315,489.47, 6,727,936,347.61 and 2,970,076,895.14 is: 4,098,706,707.53
Step by Step Solution
- Step 1: Write the proportion equation
4,875,315,489.47 : 6,727,936,347.61 = 2,970,076,895.14 : x - Step 2: Convert to fraction form
4,875,315,489.47/6,727,936,347.61 = 2,970,076,895.14/x - Step 3: Cross multiply
4,875,315,489.47x = 6,727,936,347.61 × 2,970,076,895.14 - Step 4: Simplify right side
4,875,315,489.47x = 19,982,488,298,014,150,656 - Step 5: Solve for x
x = 19,982,488,298,014,150,656/4,875,315,489.47 - Step 6: Final answer
x = 4,098,706,707.53
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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.