Finding the Fourth Proportional to 1,537,562,011,342.40, 2,304,728,551,125.90 and 517,325,346,362.95
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Solution
The fourth proportional to 1,537,562,011,342.40, 2,304,728,551,125.90 and 517,325,346,362.95 is: 775,444,819,258.27
Step by Step Solution
- Step 1: Write the proportion equation
1,537,562,011,342.40 : 2,304,728,551,125.90 = 517,325,346,362.95 : x - Step 2: Convert to fraction form
1,537,562,011,342.40/2,304,728,551,125.90 = 517,325,346,362.95/x - Step 3: Cross multiply
1,537,562,011,342.40x = 2,304,728,551,125.90 × 517,325,346,362.95 - Step 4: Simplify right side
1,537,562,011,342.40x = 1,192,294,495,983,786,122,018,816 - Step 5: Solve for x
x = 1,192,294,495,983,786,122,018,816/1,537,562,011,342.40 - Step 6: Final answer
x = 775,444,819,258.27
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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.