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Finding the Fourth Proportional to 296,870,328,041.70, 445,305,492,062.54 and 296,870,328,041.70

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Solution

The fourth proportional to 296,870,328,041.70, 445,305,492,062.54 and 296,870,328,041.70 is: 445,305,492,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,870,328,041.70 : 445,305,492,062.54 = 296,870,328,041.70 : x
  2. Step 2: Convert to fraction form
    296,870,328,041.70/445,305,492,062.54 = 296,870,328,041.70/x
  3. Step 3: Cross multiply
    296,870,328,041.70x = 445,305,492,062.54 × 296,870,328,041.70
  4. Step 4: Simplify right side
    296,870,328,041.70x = 132,197,987,507,376,889,004,032
  5. Step 5: Solve for x
    x = 132,197,987,507,376,889,004,032/296,870,328,041.70
  6. Step 6: Final answer
    x = 445,305,492,062.54

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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.