Finding the Fourth Proportional to 32,102,355,034,908, 48,133,825,563,384 and 12,475,584,258,134
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Solution
The fourth proportional to 32,102,355,034,908, 48,133,825,563,384 and 12,475,584,258,134 is: 18,705,717,877,375.11
Step by Step Solution
- Step 1: Write the proportion equation
32,102,355,034,908 : 48,133,825,563,384 = 12,475,584,258,134 : x - Step 2: Convert to fraction form
32,102,355,034,908/48,133,825,563,384 = 12,475,584,258,134/x - Step 3: Cross multiply
32,102,355,034,908x = 48,133,825,563,384 × 12,475,584,258,134 - Step 4: Simplify right side
32,102,355,034,908x = 600,497,596,482,321,355,909,365,760 - Step 5: Solve for x
x = 600,497,596,482,321,355,909,365,760/32,102,355,034,908 - Step 6: Final answer
x = 18,705,717,877,375.11
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.