Finding the Fourth Proportional to 16,316,507,818,146, 22,517,094,201,378 and 8,909,234,127,451.40
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Solution
The fourth proportional to 16,316,507,818,146, 22,517,094,201,378 and 8,909,234,127,451.40 is: 12,294,914,227,102.65
Step by Step Solution
- Step 1: Write the proportion equation
16,316,507,818,146 : 22,517,094,201,378 = 8,909,234,127,451.40 : x - Step 2: Convert to fraction form
16,316,507,818,146/22,517,094,201,378 = 8,909,234,127,451.40/x - Step 3: Cross multiply
16,316,507,818,146x = 22,517,094,201,378 × 8,909,234,127,451.40 - Step 4: Simplify right side
16,316,507,818,146x = 200,610,064,109,954,924,728,549,376 - Step 5: Solve for x
x = 200,610,064,109,954,924,728,549,376/16,316,507,818,146 - Step 6: Final answer
x = 12,294,914,227,102.65
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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.