Finding the Fourth Proportional to 1,878,875,831,921.80, 2,817,160,343,863.80 and 730,166,796,975.73
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Solution
The fourth proportional to 1,878,875,831,921.80, 2,817,160,343,863.80 and 730,166,796,975.73 is: 1,094,801,960,777.84
Step by Step Solution
- Step 1: Write the proportion equation
1,878,875,831,921.80 : 2,817,160,343,863.80 = 730,166,796,975.73 : x - Step 2: Convert to fraction form
1,878,875,831,921.80/2,817,160,343,863.80 = 730,166,796,975.73/x - Step 3: Cross multiply
1,878,875,831,921.80x = 2,817,160,343,863.80 × 730,166,796,975.73 - Step 4: Simplify right side
1,878,875,831,921.80x = 2,056,996,944,846,076,847,849,472 - Step 5: Solve for x
x = 2,056,996,944,846,076,847,849,472/1,878,875,831,921.80 - Step 6: Final answer
x = 1,094,801,960,777.84
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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.