Finding the Fourth Proportional to 1,827,258,710.88, 2,740,564,071.84 and 831,046,397.13
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Solution
The fourth proportional to 1,827,258,710.88, 2,740,564,071.84 and 831,046,397.13 is: 1,246,422,241.39
Step by Step Solution
- Step 1: Write the proportion equation
1,827,258,710.88 : 2,740,564,071.84 = 831,046,397.13 : x - Step 2: Convert to fraction form
1,827,258,710.88/2,740,564,071.84 = 831,046,397.13/x - Step 3: Cross multiply
1,827,258,710.88x = 2,740,564,071.84 × 831,046,397.13 - Step 4: Simplify right side
1,827,258,710.88x = 2,277,535,898,006,554,624 - Step 5: Solve for x
x = 2,277,535,898,006,554,624/1,827,258,710.88 - Step 6: Final answer
x = 1,246,422,241.39
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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.