Finding the Fourth Proportional to 2,137,221,402,313, 2,949,367,435,671.40 and 1,161,739,277,751.80
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Solution
The fourth proportional to 2,137,221,402,313, 2,949,367,435,671.40 and 1,161,739,277,751.80 is: 1,603,201,236,349.85
Step by Step Solution
- Step 1: Write the proportion equation
2,137,221,402,313 : 2,949,367,435,671.40 = 1,161,739,277,751.80 : x - Step 2: Convert to fraction form
2,137,221,402,313/2,949,367,435,671.40 = 1,161,739,277,751.80/x - Step 3: Cross multiply
2,137,221,402,313x = 2,949,367,435,671.40 × 1,161,739,277,751.80 - Step 4: Simplify right side
2,137,221,402,313x = 3,426,395,994,541,570,490,630,144 - Step 5: Solve for x
x = 3,426,395,994,541,570,490,630,144/2,137,221,402,313 - Step 6: Final answer
x = 1,603,201,236,349.85
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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.