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Finding the Fourth Proportional to 326,339,826.30, 488,375,998.65 and 299,130,047.10

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Solution

The fourth proportional to 326,339,826.30, 488,375,998.65 and 299,130,047.10 is: 447,655,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,339,826.30 : 488,375,998.65 = 299,130,047.10 : x
  2. Step 2: Convert to fraction form
    326,339,826.30/488,375,998.65 = 299,130,047.10/x
  3. Step 3: Cross multiply
    326,339,826.30x = 488,375,998.65 × 299,130,047.10
  4. Step 4: Simplify right side
    326,339,826.30x = 146,087,935,478,684,032
  5. Step 5: Solve for x
    x = 146,087,935,478,684,032/326,339,826.30
  6. Step 6: Final answer
    x = 447,655,859.64

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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.