Finding the Fourth Proportional to 49,498,840,657.74, 74,253,574,392.42 and 21,171,714,118.14
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Solution
The fourth proportional to 49,498,840,657.74, 74,253,574,392.42 and 21,171,714,118.14 is: 31,759,843,834.66
Step by Step Solution
- Step 1: Write the proportion equation
49,498,840,657.74 : 74,253,574,392.42 = 21,171,714,118.14 : x - Step 2: Convert to fraction form
49,498,840,657.74/74,253,574,392.42 = 21,171,714,118.14/x - Step 3: Cross multiply
49,498,840,657.74x = 74,253,574,392.42 × 21,171,714,118.14 - Step 4: Simplify right side
49,498,840,657.74x = 1,572,075,449,286,357,155,840 - Step 5: Solve for x
x = 1,572,075,449,286,357,155,840/49,498,840,657.74 - Step 6: Final answer
x = 31,759,843,834.66
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1.5x scale
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.