Finding the Fourth Proportional to 716,422,826,400.34, 1,074,785,186,163.20 and 232,339,300,677.53
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Solution
The fourth proportional to 716,422,826,400.34, 1,074,785,186,163.20 and 232,339,300,677.53 is: 348,557,903,698.32
Step by Step Solution
- Step 1: Write the proportion equation
716,422,826,400.34 : 1,074,785,186,163.20 = 232,339,300,677.53 : x - Step 2: Convert to fraction form
716,422,826,400.34/1,074,785,186,163.20 = 232,339,300,677.53/x - Step 3: Cross multiply
716,422,826,400.34x = 1,074,785,186,163.20 × 232,339,300,677.53 - Step 4: Simplify right side
716,422,826,400.34x = 249,714,838,531,726,777,516,032 - Step 5: Solve for x
x = 249,714,838,531,726,777,516,032/716,422,826,400.34 - Step 6: Final answer
x = 348,557,903,698.32
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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.