Finding the Fourth Proportional to 2,866,516,386,060, 4,299,745,129,386.60 and 1,656,997,186,334.40
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Solution
The fourth proportional to 2,866,516,386,060, 4,299,745,129,386.60 and 1,656,997,186,334.40 is: 2,485,478,756,024.63
Step by Step Solution
- Step 1: Write the proportion equation
2,866,516,386,060 : 4,299,745,129,386.60 = 1,656,997,186,334.40 : x - Step 2: Convert to fraction form
2,866,516,386,060/4,299,745,129,386.60 = 1,656,997,186,334.40/x - Step 3: Cross multiply
2,866,516,386,060x = 4,299,745,129,386.60 × 1,656,997,186,334.40 - Step 4: Simplify right side
2,866,516,386,060x = 7,124,665,581,348,636,357,296,128 - Step 5: Solve for x
x = 7,124,665,581,348,636,357,296,128/2,866,516,386,060 - Step 6: Final answer
x = 2,485,478,756,024.63
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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.