Finding the Fourth Proportional to 30,801,778,447,410, 42,507,473,651,130 and 16,928,746,634,544
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Solution
The fourth proportional to 30,801,778,447,410, 42,507,473,651,130 and 16,928,746,634,544 is: 23,362,230,617,402.64
Step by Step Solution
- Step 1: Write the proportion equation
30,801,778,447,410 : 42,507,473,651,130 = 16,928,746,634,544 : x - Step 2: Convert to fraction form
30,801,778,447,410/42,507,473,651,130 = 16,928,746,634,544/x - Step 3: Cross multiply
30,801,778,447,410x = 42,507,473,651,130 × 16,928,746,634,544 - Step 4: Simplify right side
30,801,778,447,410x = 719,598,251,514,534,735,535,669,248 - Step 5: Solve for x
x = 719,598,251,514,534,735,535,669,248/30,801,778,447,410 - Step 6: Final answer
x = 23,362,230,617,402.64
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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.