Finding the Fourth Proportional to 716,422,826,022.20, 1,074,785,185,595.80 and 232,339,300,299.02
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Solution
The fourth proportional to 716,422,826,022.20, 1,074,785,185,595.80 and 232,339,300,299.02 is: 348,557,903,130.44
Step by Step Solution
- Step 1: Write the proportion equation
716,422,826,022.20 : 1,074,785,185,595.80 = 232,339,300,299.02 : x - Step 2: Convert to fraction form
716,422,826,022.20/1,074,785,185,595.80 = 232,339,300,299.02/x - Step 3: Cross multiply
716,422,826,022.20x = 1,074,785,185,595.80 × 232,339,300,299.02 - Step 4: Simplify right side
716,422,826,022.20x = 249,714,837,993,080,534,073,344 - Step 5: Solve for x
x = 249,714,837,993,080,534,073,344/716,422,826,022.20 - Step 6: Final answer
x = 348,557,903,130.44
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.