Finding the Fourth Proportional to 19,472,219,850,029, 29,209,269,166,734 and 6,402,694,447,157
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Solution
The fourth proportional to 19,472,219,850,029, 29,209,269,166,734 and 6,402,694,447,157 is: 9,604,350,553,749.70
Step by Step Solution
- Step 1: Write the proportion equation
19,472,219,850,029 : 29,209,269,166,734 = 6,402,694,447,157 : x - Step 2: Convert to fraction form
19,472,219,850,029/29,209,269,166,734 = 6,402,694,447,157/x - Step 3: Cross multiply
19,472,219,850,029x = 29,209,269,166,734 × 6,402,694,447,157 - Step 4: Simplify right side
19,472,219,850,029x = 187,018,025,499,361,959,275,921,408 - Step 5: Solve for x
x = 187,018,025,499,361,959,275,921,408/19,472,219,850,029 - Step 6: Final answer
x = 9,604,350,553,749.70
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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.