Finding the Fourth Proportional to 120,577,456,025.06, 166,273,553,282.61 and 79,918,249,660.79
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Solution
The fourth proportional to 120,577,456,025.06, 166,273,553,282.61 and 79,918,249,660.79 is: 110,205,437,909.26
Step by Step Solution
- Step 1: Write the proportion equation
120,577,456,025.06 : 166,273,553,282.61 = 79,918,249,660.79 : x - Step 2: Convert to fraction form
120,577,456,025.06/166,273,553,282.61 = 79,918,249,660.79/x - Step 3: Cross multiply
120,577,456,025.06x = 166,273,553,282.61 × 79,918,249,660.79 - Step 4: Simplify right side
120,577,456,025.06x = 13,288,291,343,226,292,404,224 - Step 5: Solve for x
x = 13,288,291,343,226,292,404,224/120,577,456,025.06 - Step 6: Final answer
x = 110,205,437,909.26
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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.