Finding the Fourth Proportional to 812,845,641,444.24, 1,219,547,995,059.20 and 477,740,929,518.48
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Solution
The fourth proportional to 812,845,641,444.24, 1,219,547,995,059.20 and 477,740,929,518.48 is: 716,775,686,607.34
Step by Step Solution
- Step 1: Write the proportion equation
812,845,641,444.24 : 1,219,547,995,059.20 = 477,740,929,518.48 : x - Step 2: Convert to fraction form
812,845,641,444.24/1,219,547,995,059.20 = 477,740,929,518.48/x - Step 3: Cross multiply
812,845,641,444.24x = 1,219,547,995,059.20 × 477,740,929,518.48 - Step 4: Simplify right side
812,845,641,444.24x = 582,627,992,751,980,811,386,880 - Step 5: Solve for x
x = 582,627,992,751,980,811,386,880/812,845,641,444.24 - Step 6: Final answer
x = 716,775,686,607.34
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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.