Finding the Fourth Proportional to 32,232,918,561,985, 48,300,178,991,056 and 19,137,895,756,533
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Solution
The fourth proportional to 32,232,918,561,985, 48,300,178,991,056 and 19,137,895,756,533 is: 28,677,632,426,462.78
Step by Step Solution
- Step 1: Write the proportion equation
32,232,918,561,985 : 48,300,178,991,056 = 19,137,895,756,533 : x - Step 2: Convert to fraction form
32,232,918,561,985/48,300,178,991,056 = 19,137,895,756,533/x - Step 3: Cross multiply
32,232,918,561,985x = 48,300,178,991,056 × 19,137,895,756,533 - Step 4: Simplify right side
32,232,918,561,985x = 924,363,790,552,714,967,578,050,560 - Step 5: Solve for x
x = 924,363,790,552,714,967,578,050,560/32,232,918,561,985 - Step 6: Final answer
x = 28,677,632,426,462.78
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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.