Finding the Fourth Proportional to 1,560,729,047,052.90, 2,153,631,404,467.60 and 866,298,873,758.75
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Solution
The fourth proportional to 1,560,729,047,052.90, 2,153,631,404,467.60 and 866,298,873,758.75 is: 1,195,395,487,579.80
Step by Step Solution
- Step 1: Write the proportion equation
1,560,729,047,052.90 : 2,153,631,404,467.60 = 866,298,873,758.75 : x - Step 2: Convert to fraction form
1,560,729,047,052.90/2,153,631,404,467.60 = 866,298,873,758.75/x - Step 3: Cross multiply
1,560,729,047,052.90x = 2,153,631,404,467.60 × 866,298,873,758.75 - Step 4: Simplify right side
1,560,729,047,052.90x = 1,865,688,460,181,756,891,365,376 - Step 5: Solve for x
x = 1,865,688,460,181,756,891,365,376/1,560,729,047,052.90 - Step 6: Final answer
x = 1,195,395,487,579.80
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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.