Finding the Fourth Proportional to 1,685,663,033,865.30, 2,326,216,708,343 and 914,911,884,471.84
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Solution
The fourth proportional to 1,685,663,033,865.30, 2,326,216,708,343 and 914,911,884,471.84 is: 1,262,579,334,993.02
Step by Step Solution
- Step 1: Write the proportion equation
1,685,663,033,865.30 : 2,326,216,708,343 = 914,911,884,471.84 : x - Step 2: Convert to fraction form
1,685,663,033,865.30/2,326,216,708,343 = 914,911,884,471.84/x - Step 3: Cross multiply
1,685,663,033,865.30x = 2,326,216,708,343 × 914,911,884,471.84 - Step 4: Simplify right side
1,685,663,033,865.30x = 2,128,283,312,319,974,535,593,984 - Step 5: Solve for x
x = 2,128,283,312,319,974,535,593,984/1,685,663,033,865.30 - Step 6: Final answer
x = 1,262,579,334,993.02
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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.