Finding the Fourth Proportional to 60,712,180,712,298, 83,782,809,382,980 and 34,728,663,356,043
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Solution
The fourth proportional to 60,712,180,712,298, 83,782,809,382,980 and 34,728,663,356,043 is: 47,925,555,431,344.35
Step by Step Solution
- Step 1: Write the proportion equation
60,712,180,712,298 : 83,782,809,382,980 = 34,728,663,356,043 : x - Step 2: Convert to fraction form
60,712,180,712,298/83,782,809,382,980 = 34,728,663,356,043/x - Step 3: Cross multiply
60,712,180,712,298x = 83,782,809,382,980 × 34,728,663,356,043 - Step 4: Simplify right side
60,712,180,712,298x = 2,909,664,982,085,033,360,160,194,560 - Step 5: Solve for x
x = 2,909,664,982,085,033,360,160,194,560/60,712,180,712,298 - Step 6: Final answer
x = 47,925,555,431,344.35
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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.