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Finding the Fourth Proportional to 316,876,146.65, 474,978,752.26 and 106,586,643.87

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Solution

The fourth proportional to 316,876,146.65, 474,978,752.26 and 106,586,643.87 is: 159,767,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,876,146.65 : 474,978,752.26 = 106,586,643.87 : x
  2. Step 2: Convert to fraction form
    316,876,146.65/474,978,752.26 = 106,586,643.87/x
  3. Step 3: Cross multiply
    316,876,146.65x = 474,978,752.26 × 106,586,643.87
  4. Step 4: Simplify right side
    316,876,146.65x = 50,626,391,112,953,576
  5. Step 5: Solve for x
    x = 50,626,391,112,953,576/316,876,146.65
  6. Step 6: Final answer
    x = 159,767,125.57

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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.