Finding the Fourth Proportional to 75,683,309,776.80, 113,532,736,816.08 and 28,559,442,475.68
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Solution
The fourth proportional to 75,683,309,776.80, 113,532,736,816.08 and 28,559,442,475.68 is: 42,842,096,570.14
Step by Step Solution
- Step 1: Write the proportion equation
75,683,309,776.80 : 113,532,736,816.08 = 28,559,442,475.68 : x - Step 2: Convert to fraction form
75,683,309,776.80/113,532,736,816.08 = 28,559,442,475.68/x - Step 3: Cross multiply
75,683,309,776.80x = 113,532,736,816.08 × 28,559,442,475.68 - Step 4: Simplify right side
75,683,309,776.80x = 3,242,431,666,205,353,836,544 - Step 5: Solve for x
x = 3,242,431,666,205,353,836,544/75,683,309,776.80 - Step 6: Final answer
x = 42,842,096,570.14
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1.5x scale
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.