Finding the Fourth Proportional to 1,676,536,704,029.70, 2,514,805,056,044.40 and 669,883,712,746.50
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Solution
The fourth proportional to 1,676,536,704,029.70, 2,514,805,056,044.40 and 669,883,712,746.50 is: 1,004,825,569,119.69
Step by Step Solution
- Step 1: Write the proportion equation
1,676,536,704,029.70 : 2,514,805,056,044.40 = 669,883,712,746.50 : x - Step 2: Convert to fraction form
1,676,536,704,029.70/2,514,805,056,044.40 = 669,883,712,746.50/x - Step 3: Cross multiply
1,676,536,704,029.70x = 2,514,805,056,044.40 × 669,883,712,746.50 - Step 4: Simplify right side
1,676,536,704,029.70x = 1,684,626,947,776,692,736,753,664 - Step 5: Solve for x
x = 1,684,626,947,776,692,736,753,664/1,676,536,704,029.70 - Step 6: Final answer
x = 1,004,825,569,119.69
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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.