Finding the Fourth Proportional to 2,137,221,402,316, 2,949,367,435,675.60 and 1,161,739,277,754.80
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Solution
The fourth proportional to 2,137,221,402,316, 2,949,367,435,675.60 and 1,161,739,277,754.80 is: 1,603,201,236,354.03
Step by Step Solution
- Step 1: Write the proportion equation
2,137,221,402,316 : 2,949,367,435,675.60 = 1,161,739,277,754.80 : x - Step 2: Convert to fraction form
2,137,221,402,316/2,949,367,435,675.60 = 1,161,739,277,754.80/x - Step 3: Cross multiply
2,137,221,402,316x = 2,949,367,435,675.60 × 1,161,739,277,754.80 - Step 4: Simplify right side
2,137,221,402,316x = 3,426,395,994,555,298,279,849,984 - Step 5: Solve for x
x = 3,426,395,994,555,298,279,849,984/2,137,221,402,316 - Step 6: Final answer
x = 1,603,201,236,354.03
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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.