Finding the Fourth Proportional to 185,567,983,398.68, 278,238,058,651.74 and 72,115,239,206.48
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Solution
The fourth proportional to 185,567,983,398.68, 278,238,058,651.74 and 72,115,239,206.48 is: 108,128,588,717.31
Step by Step Solution
- Step 1: Write the proportion equation
185,567,983,398.68 : 278,238,058,651.74 = 72,115,239,206.48 : x - Step 2: Convert to fraction form
185,567,983,398.68/278,238,058,651.74 = 72,115,239,206.48/x - Step 3: Cross multiply
185,567,983,398.68x = 278,238,058,651.74 × 72,115,239,206.48 - Step 4: Simplify right side
185,567,983,398.68x = 20,065,204,156,016,841,719,808 - Step 5: Solve for x
x = 20,065,204,156,016,841,719,808/185,567,983,398.68 - Step 6: Final answer
x = 108,128,588,717.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.