Finding the Fourth Proportional to 1,782,106,943.40, 2,674,117,008.90 and 747,072,451.80
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Solution
The fourth proportional to 1,782,106,943.40, 2,674,117,008.90 and 747,072,451.80 is: 1,121,009,688.92
Step by Step Solution
- Step 1: Write the proportion equation
1,782,106,943.40 : 2,674,117,008.90 = 747,072,451.80 : x - Step 2: Convert to fraction form
1,782,106,943.40/2,674,117,008.90 = 747,072,451.80/x - Step 3: Cross multiply
1,782,106,943.40x = 2,674,117,008.90 × 747,072,451.80 - Step 4: Simplify right side
1,782,106,943.40x = 1,997,759,150,239,005,440 - Step 5: Solve for x
x = 1,997,759,150,239,005,440/1,782,106,943.40 - Step 6: Final answer
x = 1,121,009,688.92
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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.