Finding the Fourth Proportional to 1,758,461,904,720.80, 2,426,736,287,579.70 and 977,227,959,921.75
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Solution
The fourth proportional to 1,758,461,904,720.80, 2,426,736,287,579.70 and 977,227,959,921.75 is: 1,348,607,294,370.77
Step by Step Solution
- Step 1: Write the proportion equation
1,758,461,904,720.80 : 2,426,736,287,579.70 = 977,227,959,921.75 : x - Step 2: Convert to fraction form
1,758,461,904,720.80/2,426,736,287,579.70 = 977,227,959,921.75/x - Step 3: Cross multiply
1,758,461,904,720.80x = 2,426,736,287,579.70 × 977,227,959,921.75 - Step 4: Simplify right side
1,758,461,904,720.80x = 2,371,474,551,579,591,705,624,576 - Step 5: Solve for x
x = 2,371,474,551,579,591,705,624,576/1,758,461,904,720.80 - Step 6: Final answer
x = 1,348,607,294,370.77
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.