Finding the Fourth Proportional to 4,471,709,443.84, 6,170,878,970.68 and 2,437,178,620.16
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Solution
The fourth proportional to 4,471,709,443.84, 6,170,878,970.68 and 2,437,178,620.16 is: 3,363,262,860.39
Step by Step Solution
- Step 1: Write the proportion equation
4,471,709,443.84 : 6,170,878,970.68 = 2,437,178,620.16 : x - Step 2: Convert to fraction form
4,471,709,443.84/6,170,878,970.68 = 2,437,178,620.16/x - Step 3: Cross multiply
4,471,709,443.84x = 6,170,878,970.68 × 2,437,178,620.16 - Step 4: Simplify right side
4,471,709,443.84x = 15,039,534,294,936,244,224 - Step 5: Solve for x
x = 15,039,534,294,936,244,224/4,471,709,443.84 - Step 6: Final answer
x = 3,363,262,860.39
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1.5x scale
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.