Finding the Fourth Proportional to 177,867,716,926.64, 245,457,449,358.75 and 101,744,130,922.02
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Solution
The fourth proportional to 177,867,716,926.64, 245,457,449,358.75 and 101,744,130,922.02 is: 140,406,900,672.38
Step by Step Solution
- Step 1: Write the proportion equation
177,867,716,926.64 : 245,457,449,358.75 = 101,744,130,922.02 : x - Step 2: Convert to fraction form
177,867,716,926.64/245,457,449,358.75 = 101,744,130,922.02/x - Step 3: Cross multiply
177,867,716,926.64x = 245,457,449,358.75 × 101,744,130,922.02 - Step 4: Simplify right side
177,867,716,926.64x = 24,973,854,863,341,756,874,752 - Step 5: Solve for x
x = 24,973,854,863,341,756,874,752/177,867,716,926.64 - Step 6: Final answer
x = 140,406,900,672.38
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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.