Finding the Fourth Proportional to 32,232,918,561,992, 48,300,178,991,070 and 19,137,895,756,542
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Solution
The fourth proportional to 32,232,918,561,992, 48,300,178,991,070 and 19,137,895,756,542 is: 28,677,632,426,478.35
Step by Step Solution
- Step 1: Write the proportion equation
32,232,918,561,992 : 48,300,178,991,070 = 19,137,895,756,542 : x - Step 2: Convert to fraction form
32,232,918,561,992/48,300,178,991,070 = 19,137,895,756,542/x - Step 3: Cross multiply
32,232,918,561,992x = 48,300,178,991,070 × 19,137,895,756,542 - Step 4: Simplify right side
32,232,918,561,992x = 924,363,790,553,417,555,508,199,424 - Step 5: Solve for x
x = 924,363,790,553,417,555,508,199,424/32,232,918,561,992 - Step 6: Final answer
x = 28,677,632,426,478.35
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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.