Finding the Fourth Proportional to 176,255,386,043.36, 264,434,950,345.34 and 56,870,470,956.38
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Solution
The fourth proportional to 176,255,386,043.36, 264,434,950,345.34 and 56,870,470,956.38 is: 85,322,443,194.82
Step by Step Solution
- Step 1: Write the proportion equation
176,255,386,043.36 : 264,434,950,345.34 = 56,870,470,956.38 : x - Step 2: Convert to fraction form
176,255,386,043.36/264,434,950,345.34 = 56,870,470,956.38/x - Step 3: Cross multiply
176,255,386,043.36x = 264,434,950,345.34 × 56,870,470,956.38 - Step 4: Simplify right side
176,255,386,043.36x = 15,038,540,163,466,445,979,648 - Step 5: Solve for x
x = 15,038,540,163,466,445,979,648/176,255,386,043.36 - Step 6: Final answer
x = 85,322,443,194.82
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.