Finding the Fourth Proportional to 930,195,946,997.44, 1,283,909,246,329.90 and 605,843,495,913.28
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Solution
The fourth proportional to 930,195,946,997.44, 1,283,909,246,329.90 and 605,843,495,913.28 is: 836,219,582,274.78
Step by Step Solution
- Step 1: Write the proportion equation
930,195,946,997.44 : 1,283,909,246,329.90 = 605,843,495,913.28 : x - Step 2: Convert to fraction form
930,195,946,997.44/1,283,909,246,329.90 = 605,843,495,913.28/x - Step 3: Cross multiply
930,195,946,997.44x = 1,283,909,246,329.90 × 605,843,495,913.28 - Step 4: Simplify right side
930,195,946,997.44x = 777,848,066,231,891,155,484,672 - Step 5: Solve for x
x = 777,848,066,231,891,155,484,672/930,195,946,997.44 - Step 6: Final answer
x = 836,219,582,274.78
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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.