Finding the Fourth Proportional to 1,560,729,046,968.80, 2,153,631,404,351.50 and 866,298,873,674.60
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Solution
The fourth proportional to 1,560,729,046,968.80, 2,153,631,404,351.50 and 866,298,873,674.60 is: 1,195,395,487,463.65
Step by Step Solution
- Step 1: Write the proportion equation
1,560,729,046,968.80 : 2,153,631,404,351.50 = 866,298,873,674.60 : x - Step 2: Convert to fraction form
1,560,729,046,968.80/2,153,631,404,351.50 = 866,298,873,674.60/x - Step 3: Cross multiply
1,560,729,046,968.80x = 2,153,631,404,351.50 × 866,298,873,674.60 - Step 4: Simplify right side
1,560,729,046,968.80x = 1,865,688,459,899,951,470,608,384 - Step 5: Solve for x
x = 1,865,688,459,899,951,470,608,384/1,560,729,046,968.80 - Step 6: Final answer
x = 1,195,395,487,463.65
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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.