Finding the Fourth Proportional to 708,672,183,726.96, 1,063,011,033,465.50 and 171,449,282,103.84
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Solution
The fourth proportional to 708,672,183,726.96, 1,063,011,033,465.50 and 171,449,282,103.84 is: 257,174,590,369.33
Step by Step Solution
- Step 1: Write the proportion equation
708,672,183,726.96 : 1,063,011,033,465.50 = 171,449,282,103.84 : x - Step 2: Convert to fraction form
708,672,183,726.96/1,063,011,033,465.50 = 171,449,282,103.84/x - Step 3: Cross multiply
708,672,183,726.96x = 1,063,011,033,465.50 × 171,449,282,103.84 - Step 4: Simplify right side
708,672,183,726.96x = 182,252,478,556,121,008,701,440 - Step 5: Solve for x
x = 182,252,478,556,121,008,701,440/708,672,183,726.96 - Step 6: Final answer
x = 257,174,590,369.33
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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.