Finding the Fourth Proportional to 30,801,778,447,536, 42,507,473,651,300 and 16,928,746,634,670
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Solution
The fourth proportional to 30,801,778,447,536, 42,507,473,651,300 and 16,928,746,634,670 is: 23,362,230,617,574.39
Step by Step Solution
- Step 1: Write the proportion equation
30,801,778,447,536 : 42,507,473,651,300 = 16,928,746,634,670 : x - Step 2: Convert to fraction form
30,801,778,447,536/42,507,473,651,300 = 16,928,746,634,670/x - Step 3: Cross multiply
30,801,778,447,536x = 42,507,473,651,300 × 16,928,746,634,670 - Step 4: Simplify right side
30,801,778,447,536x = 719,598,251,522,768,565,799,223,296 - Step 5: Solve for x
x = 719,598,251,522,768,565,799,223,296/30,801,778,447,536 - Step 6: Final answer
x = 23,362,230,617,574.39
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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.