Finding the Fourth Proportional to 1,473,697,690,582, 2,210,591,569,240.20 and 505,592,551,128.06
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Solution
The fourth proportional to 1,473,697,690,582, 2,210,591,569,240.20 and 505,592,551,128.06 is: 758,404,276,628.09
Step by Step Solution
- Step 1: Write the proportion equation
1,473,697,690,582 : 2,210,591,569,240.20 = 505,592,551,128.06 : x - Step 2: Convert to fraction form
1,473,697,690,582/2,210,591,569,240.20 = 505,592,551,128.06/x - Step 3: Cross multiply
1,473,697,690,582x = 2,210,591,569,240.20 × 505,592,551,128.06 - Step 4: Simplify right side
1,473,697,690,582x = 1,117,658,630,994,334,326,980,608 - Step 5: Solve for x
x = 1,117,658,630,994,334,326,980,608/1,473,697,690,582 - Step 6: Final answer
x = 758,404,276,628.09
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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.