Finding the Fourth Proportional to 1,415,825,830,738.40, 2,122,825,641,321.40 and 555,386,940,515.58
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Solution
The fourth proportional to 1,415,825,830,738.40, 2,122,825,641,321.40 and 555,386,940,515.58 is: 832,722,226,551.44
Step by Step Solution
- Step 1: Write the proportion equation
1,415,825,830,738.40 : 2,122,825,641,321.40 = 555,386,940,515.58 : x - Step 2: Convert to fraction form
1,415,825,830,738.40/2,122,825,641,321.40 = 555,386,940,515.58/x - Step 3: Cross multiply
1,415,825,830,738.40x = 2,122,825,641,321.40 × 555,386,940,515.58 - Step 4: Simplify right side
1,415,825,830,738.40x = 1,178,989,638,181,516,184,911,872 - Step 5: Solve for x
x = 1,178,989,638,181,516,184,911,872/1,415,825,830,738.40 - Step 6: Final answer
x = 832,722,226,551.44
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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.