Finding the Fourth Proportional to 314,284,927,011.71, 471,427,389,988.64 and 75,519,576,071.87
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Solution
The fourth proportional to 314,284,927,011.71, 471,427,389,988.64 and 75,519,576,071.87 is: 113,279,363,980.70
Step by Step Solution
- Step 1: Write the proportion equation
314,284,927,011.71 : 471,427,389,988.64 = 75,519,576,071.87 : x - Step 2: Convert to fraction form
314,284,927,011.71/471,427,389,988.64 = 75,519,576,071.87/x - Step 3: Cross multiply
314,284,927,011.71x = 471,427,389,988.64 × 75,519,576,071.87 - Step 4: Simplify right side
314,284,927,011.71x = 35,601,996,640,607,870,648,320 - Step 5: Solve for x
x = 35,601,996,640,607,870,648,320/314,284,927,011.71 - Step 6: Final answer
x = 113,279,363,980.70
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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.