Finding the Fourth Proportional to 75,172,326,778.63, 103,740,538,492.71 and 43,063,894,501.75
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Solution
The fourth proportional to 75,172,326,778.63, 103,740,538,492.71 and 43,063,894,501.75 is: 59,429,736,934.45
Step by Step Solution
- Step 1: Write the proportion equation
75,172,326,778.63 : 103,740,538,492.71 = 43,063,894,501.75 : x - Step 2: Convert to fraction form
75,172,326,778.63/103,740,538,492.71 = 43,063,894,501.75/x - Step 3: Cross multiply
75,172,326,778.63x = 103,740,538,492.71 × 43,063,894,501.75 - Step 4: Simplify right side
75,172,326,778.63x = 4,467,471,605,204,798,930,944 - Step 5: Solve for x
x = 4,467,471,605,204,798,930,944/75,172,326,778.63 - Step 6: Final answer
x = 59,429,736,934.45
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1.5x scale
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.