Finding the Fourth Proportional to 2,012,666,594,871.20, 3,019,423,950,689 and 652,717,266,090.65
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Solution
The fourth proportional to 2,012,666,594,871.20, 3,019,423,950,689 and 652,717,266,090.65 is: 979,213,423,268.68
Step by Step Solution
- Step 1: Write the proportion equation
2,012,666,594,871.20 : 3,019,423,950,689 = 652,717,266,090.65 : x - Step 2: Convert to fraction form
2,012,666,594,871.20/3,019,423,950,689 = 652,717,266,090.65/x - Step 3: Cross multiply
2,012,666,594,871.20x = 3,019,423,950,689 × 652,717,266,090.65 - Step 4: Simplify right side
2,012,666,594,871.20x = 1,970,830,146,262,353,871,634,432 - Step 5: Solve for x
x = 1,970,830,146,262,353,871,634,432/2,012,666,594,871.20 - Step 6: Final answer
x = 979,213,423,268.68
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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.