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Finding the Fourth Proportional to 314,298,745.34, 471,649,900.34 and 210,784,833.51

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Solution

The fourth proportional to 314,298,745.34, 471,649,900.34 and 210,784,833.51 is: 316,312,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,298,745.34 : 471,649,900.34 = 210,784,833.51 : x
  2. Step 2: Convert to fraction form
    314,298,745.34/471,649,900.34 = 210,784,833.51/x
  3. Step 3: Cross multiply
    314,298,745.34x = 471,649,900.34 × 210,784,833.51
  4. Step 4: Simplify right side
    314,298,745.34x = 99,416,645,716,933,264
  5. Step 5: Solve for x
    x = 99,416,645,716,933,264/314,298,745.34
  6. Step 6: Final answer
    x = 316,312,575.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.