Finding the Fourth Proportional to 7,542,838,248,354.60, 11,314,257,359,840 and 1,812,469,825,797.60
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Solution
The fourth proportional to 7,542,838,248,354.60, 11,314,257,359,840 and 1,812,469,825,797.60 is: 2,718,704,735,646.66
Step by Step Solution
- Step 1: Write the proportion equation
7,542,838,248,354.60 : 11,314,257,359,840 = 1,812,469,825,797.60 : x - Step 2: Convert to fraction form
7,542,838,248,354.60/11,314,257,359,840 = 1,812,469,825,797.60/x - Step 3: Cross multiply
7,542,838,248,354.60x = 11,314,257,359,840 × 1,812,469,825,797.60 - Step 4: Simplify right side
7,542,838,248,354.60x = 20,506,750,066,018,418,994,184,192 - Step 5: Solve for x
x = 20,506,750,066,018,418,994,184,192/7,542,838,248,354.60 - Step 6: Final answer
x = 2,718,704,735,646.66
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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.