Finding the Fourth Proportional to 120,498,296,582.92, 166,282,655,854.86 and 65,565,696,426.08
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Solution
The fourth proportional to 120,498,296,582.92, 166,282,655,854.86 and 65,565,696,426.08 is: 90,477,944,036.32
Step by Step Solution
- Step 1: Write the proportion equation
120,498,296,582.92 : 166,282,655,854.86 = 65,565,696,426.08 : x - Step 2: Convert to fraction form
120,498,296,582.92/166,282,655,854.86 = 65,565,696,426.08/x - Step 3: Cross multiply
120,498,296,582.92x = 166,282,655,854.86 × 65,565,696,426.08 - Step 4: Simplify right side
120,498,296,582.92x = 10,902,438,134,701,252,149,248 - Step 5: Solve for x
x = 10,902,438,134,701,252,149,248/120,498,296,582.92 - Step 6: Final answer
x = 90,477,944,036.32
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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.