Finding the Fourth Proportional to 16,600,666,200,982, 22,909,639,482,290 and 9,193,098,817,579
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Solution
The fourth proportional to 16,600,666,200,982, 22,909,639,482,290 and 9,193,098,817,579 is: 12,686,875,158,259.79
Step by Step Solution
- Step 1: Write the proportion equation
16,600,666,200,982 : 22,909,639,482,290 = 9,193,098,817,579 : x - Step 2: Convert to fraction form
16,600,666,200,982/22,909,639,482,290 = 9,193,098,817,579/x - Step 3: Cross multiply
16,600,666,200,982x = 22,909,639,482,290 × 9,193,098,817,579 - Step 4: Simplify right side
16,600,666,200,982x = 210,610,579,635,801,368,507,187,200 - Step 5: Solve for x
x = 210,610,579,635,801,368,507,187,200/16,600,666,200,982 - Step 6: Final answer
x = 12,686,875,158,259.79
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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.