Finding the Fourth Proportional to 1,966,469,119,927.10, 2,949,478,358,039.40 and 514,471,954,594.35
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Solution
The fourth proportional to 1,966,469,119,927.10, 2,949,478,358,039.40 and 514,471,954,594.35 is: 771,648,982,695.71
Step by Step Solution
- Step 1: Write the proportion equation
1,966,469,119,927.10 : 2,949,478,358,039.40 = 514,471,954,594.35 : x - Step 2: Convert to fraction form
1,966,469,119,927.10/2,949,478,358,039.40 = 514,471,954,594.35/x - Step 3: Cross multiply
1,966,469,119,927.10x = 2,949,478,358,039.40 × 514,471,954,594.35 - Step 4: Simplify right side
1,966,469,119,927.10x = 1,517,423,895,894,263,959,912,448 - Step 5: Solve for x
x = 1,517,423,895,894,263,959,912,448/1,966,469,119,927.10 - Step 6: Final answer
x = 771,648,982,695.71
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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.