Finding the Fourth Proportional to 87,133,692,158.85, 120,243,272,896.26 and 48,554,238,084.78
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Solution
The fourth proportional to 87,133,692,158.85, 120,243,272,896.26 and 48,554,238,084.78 is: 67,004,167,454.02
Step by Step Solution
- Step 1: Write the proportion equation
87,133,692,158.85 : 120,243,272,896.26 = 48,554,238,084.78 : x - Step 2: Convert to fraction form
87,133,692,158.85/120,243,272,896.26 = 48,554,238,084.78/x - Step 3: Cross multiply
87,133,692,158.85x = 120,243,272,896.26 × 48,554,238,084.78 - Step 4: Simplify right side
87,133,692,158.85x = 5,838,320,500,298,181,771,264 - Step 5: Solve for x
x = 5,838,320,500,298,181,771,264/87,133,692,158.85 - Step 6: Final answer
x = 67,004,167,454.02
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1.5x scale
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.