Finding the Fourth Proportional to 2,475,729,813,713.80, 3,715,291,038,464.60 and 864,063,694,486.35
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Solution
The fourth proportional to 2,475,729,813,713.80, 3,715,291,038,464.60 and 864,063,694,486.35 is: 1,296,687,579,963.39
Step by Step Solution
- Step 1: Write the proportion equation
2,475,729,813,713.80 : 3,715,291,038,464.60 = 864,063,694,486.35 : x - Step 2: Convert to fraction form
2,475,729,813,713.80/3,715,291,038,464.60 = 864,063,694,486.35/x - Step 3: Cross multiply
2,475,729,813,713.80x = 3,715,291,038,464.60 × 864,063,694,486.35 - Step 4: Simplify right side
2,475,729,813,713.80x = 3,210,248,100,787,750,006,947,840 - Step 5: Solve for x
x = 3,210,248,100,787,750,006,947,840/2,475,729,813,713.80 - Step 6: Final answer
x = 1,296,687,579,963.39
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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.