Finding the Fourth Proportional to 783,124,312,593.05, 1,080,711,603,347.70 and 435,887,139,610.55
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Solution
The fourth proportional to 783,124,312,593.05, 1,080,711,603,347.70 and 435,887,139,610.55 is: 601,524,281,588.68
Step by Step Solution
- Step 1: Write the proportion equation
783,124,312,593.05 : 1,080,711,603,347.70 = 435,887,139,610.55 : x - Step 2: Convert to fraction form
783,124,312,593.05/1,080,711,603,347.70 = 435,887,139,610.55/x - Step 3: Cross multiply
783,124,312,593.05x = 1,080,711,603,347.70 × 435,887,139,610.55 - Step 4: Simplify right side
783,124,312,593.05x = 471,068,289,527,160,208,621,568 - Step 5: Solve for x
x = 471,068,289,527,160,208,621,568/783,124,312,593.05 - Step 6: Final answer
x = 601,524,281,588.68
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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.