Finding the Fourth Proportional to 1,758,574,448,157.10, 2,638,013,623,775.80 and 485,159,243,160.32
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Solution
The fourth proportional to 1,758,574,448,157.10, 2,638,013,623,775.80 and 485,159,243,160.32 is: 727,780,785,453.19
Step by Step Solution
- Step 1: Write the proportion equation
1,758,574,448,157.10 : 2,638,013,623,775.80 = 485,159,243,160.32 : x - Step 2: Convert to fraction form
1,758,574,448,157.10/2,638,013,623,775.80 = 485,159,243,160.32/x - Step 3: Cross multiply
1,758,574,448,157.10x = 2,638,013,623,775.80 × 485,159,243,160.32 - Step 4: Simplify right side
1,758,574,448,157.10x = 1,279,856,693,157,680,243,539,968 - Step 5: Solve for x
x = 1,279,856,693,157,680,243,539,968/1,758,574,448,157.10 - Step 6: Final answer
x = 727,780,785,453.19
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.