Finding the Fourth Proportional to 24,851,548,274,908, 37,277,358,289,503 and 10,148,657,717,095
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Solution
The fourth proportional to 24,851,548,274,908, 37,277,358,289,503 and 10,148,657,717,095 is: 15,223,001,226,835.25
Step by Step Solution
- Step 1: Write the proportion equation
24,851,548,274,908 : 37,277,358,289,503 = 10,148,657,717,095 : x - Step 2: Convert to fraction form
24,851,548,274,908/37,277,358,289,503 = 10,148,657,717,095/x - Step 3: Cross multiply
24,851,548,274,908x = 37,277,358,289,503 × 10,148,657,717,095 - Step 4: Simplify right side
24,851,548,274,908x = 378,315,149,877,679,895,166,844,928 - Step 5: Solve for x
x = 378,315,149,877,679,895,166,844,928/24,851,548,274,908 - Step 6: Final answer
x = 15,223,001,226,835.25
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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.