Finding the Fourth Proportional to 16,706,652,002,014, 23,055,180,871,456 and 9,298,925,645,053.60
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Solution
The fourth proportional to 16,706,652,002,014, 23,055,180,871,456 and 9,298,925,645,053.60 is: 12,832,518,007,263.62
Step by Step Solution
- Step 1: Write the proportion equation
16,706,652,002,014 : 23,055,180,871,456 = 9,298,925,645,053.60 : x - Step 2: Convert to fraction form
16,706,652,002,014/23,055,180,871,456 = 9,298,925,645,053.60/x - Step 3: Cross multiply
16,706,652,002,014x = 23,055,180,871,456 × 9,298,925,645,053.60 - Step 4: Simplify right side
16,706,652,002,014x = 214,388,412,656,931,382,413,492,224 - Step 5: Solve for x
x = 214,388,412,656,931,382,413,492,224/16,706,652,002,014 - Step 6: Final answer
x = 12,832,518,007,263.62
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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.