Finding the Fourth Proportional to 1,576,283,183,587.40, 2,364,185,875,588.70 and 429,004,812,209.28
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Solution
The fourth proportional to 1,576,283,183,587.40, 2,364,185,875,588.70 and 429,004,812,209.28 is: 643,442,198,803.69
Step by Step Solution
- Step 1: Write the proportion equation
1,576,283,183,587.40 : 2,364,185,875,588.70 = 429,004,812,209.28 : x - Step 2: Convert to fraction form
1,576,283,183,587.40/2,364,185,875,588.70 = 429,004,812,209.28/x - Step 3: Cross multiply
1,576,283,183,587.40x = 2,364,185,875,588.70 × 429,004,812,209.28 - Step 4: Simplify right side
1,576,283,183,587.40x = 1,014,247,117,584,762,650,230,784 - Step 5: Solve for x
x = 1,014,247,117,584,762,650,230,784/1,576,283,183,587.40 - Step 6: Final answer
x = 643,442,198,803.69
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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.