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Finding the Fourth Proportional to 375,932,416.34, 564,014,089.92 and 179,446,555.16

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Solution

The fourth proportional to 375,932,416.34, 564,014,089.92 and 179,446,555.16 is: 269,224,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,932,416.34 : 564,014,089.92 = 179,446,555.16 : x
  2. Step 2: Convert to fraction form
    375,932,416.34/564,014,089.92 = 179,446,555.16/x
  3. Step 3: Cross multiply
    375,932,416.34x = 564,014,089.92 × 179,446,555.16
  4. Step 4: Simplify right side
    375,932,416.34x = 101,210,385,497,846,464
  5. Step 5: Solve for x
    x = 101,210,385,497,846,464/375,932,416.34
  6. Step 6: Final answer
    x = 269,224,948.68

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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.