Finding the Fourth Proportional to 2,583,832,001.20, 3,875,748,001.80 and 1,206,336,929.20
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Solution
The fourth proportional to 2,583,832,001.20, 3,875,748,001.80 and 1,206,336,929.20 is: 1,809,505,393.80
Step by Step Solution
- Step 1: Write the proportion equation
2,583,832,001.20 : 3,875,748,001.80 = 1,206,336,929.20 : x - Step 2: Convert to fraction form
2,583,832,001.20/3,875,748,001.80 = 1,206,336,929.20/x - Step 3: Cross multiply
2,583,832,001.20x = 3,875,748,001.80 × 1,206,336,929.20 - Step 4: Simplify right side
2,583,832,001.20x = 4,675,457,942,844,448,768 - Step 5: Solve for x
x = 4,675,457,942,844,448,768/2,583,832,001.20 - Step 6: Final answer
x = 1,809,505,393.80
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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.