Finding the Fourth Proportional to 8,420,359,417,137, 11,620,164,223,074 and 4,666,106,734,156.20
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Solution
The fourth proportional to 8,420,359,417,137, 11,620,164,223,074 and 4,666,106,734,156.20 is: 6,439,265,101,075.95
Step by Step Solution
- Step 1: Write the proportion equation
8,420,359,417,137 : 11,620,164,223,074 = 4,666,106,734,156.20 : x - Step 2: Convert to fraction form
8,420,359,417,137/11,620,164,223,074 = 4,666,106,734,156.20/x - Step 3: Cross multiply
8,420,359,417,137x = 11,620,164,223,074 × 4,666,106,734,156.20 - Step 4: Simplify right side
8,420,359,417,137x = 54,220,926,533,286,543,767,896,064 - Step 5: Solve for x
x = 54,220,926,533,286,543,767,896,064/8,420,359,417,137 - Step 6: Final answer
x = 6,439,265,101,075.95
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.