Finding the Fourth Proportional to 2,031,236,512.11, 2,803,412,781.54 and 1,238,742,206.46
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Solution
The fourth proportional to 2,031,236,512.11, 2,803,412,781.54 and 1,238,742,206.46 is: 1,709,651,098.69
Step by Step Solution
- Step 1: Write the proportion equation
2,031,236,512.11 : 2,803,412,781.54 = 1,238,742,206.46 : x - Step 2: Convert to fraction form
2,031,236,512.11/2,803,412,781.54 = 1,238,742,206.46/x - Step 3: Cross multiply
2,031,236,512.11x = 2,803,412,781.54 × 1,238,742,206.46 - Step 4: Simplify right side
2,031,236,512.11x = 3,472,705,734,623,025,664 - Step 5: Solve for x
x = 3,472,705,734,623,025,664/2,031,236,512.11 - Step 6: Final answer
x = 1,709,651,098.69
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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.