Finding the Fourth Proportional to 205,346,315,065.83, 283,050,489,389.66 and 161,871,702,934.06
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Solution
The fourth proportional to 205,346,315,065.83, 283,050,489,389.66 and 161,871,702,934.06 is: 223,124,845,065.45
Step by Step Solution
- Step 1: Write the proportion equation
205,346,315,065.83 : 283,050,489,389.66 = 161,871,702,934.06 : x - Step 2: Convert to fraction form
205,346,315,065.83/283,050,489,389.66 = 161,871,702,934.06/x - Step 3: Cross multiply
205,346,315,065.83x = 283,050,489,389.66 × 161,871,702,934.06 - Step 4: Simplify right side
205,346,315,065.83x = 45,817,864,733,823,336,448,000 - Step 5: Solve for x
x = 45,817,864,733,823,336,448,000/205,346,315,065.83 - Step 6: Final answer
x = 223,124,845,065.45
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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.