Finding the Fourth Proportional to 1,762,981,148,165.20, 2,643,242,219,331.80 and 781,147,649,733.36
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Solution
The fourth proportional to 1,762,981,148,165.20, 2,643,242,219,331.80 and 781,147,649,733.36 is: 1,171,176,702,289.70
Step by Step Solution
- Step 1: Write the proportion equation
1,762,981,148,165.20 : 2,643,242,219,331.80 = 781,147,649,733.36 : x - Step 2: Convert to fraction form
1,762,981,148,165.20/2,643,242,219,331.80 = 781,147,649,733.36/x - Step 3: Cross multiply
1,762,981,148,165.20x = 2,643,242,219,331.80 × 781,147,649,733.36 - Step 4: Simplify right side
1,762,981,148,165.20x = 2,064,762,447,307,025,732,861,952 - Step 5: Solve for x
x = 2,064,762,447,307,025,732,861,952/1,762,981,148,165.20 - Step 6: Final answer
x = 1,171,176,702,289.70
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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.