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Finding the Fourth Proportional to 978,150,704.20, 1,467,226,056.30 and 651,633,353.80

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Solution

The fourth proportional to 978,150,704.20, 1,467,226,056.30 and 651,633,353.80 is: 977,450,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,150,704.20 : 1,467,226,056.30 = 651,633,353.80 : x
  2. Step 2: Convert to fraction form
    978,150,704.20/1,467,226,056.30 = 651,633,353.80/x
  3. Step 3: Cross multiply
    978,150,704.20x = 1,467,226,056.30 × 651,633,353.80
  4. Step 4: Simplify right side
    978,150,704.20x = 956,093,435,849,516,544
  5. Step 5: Solve for x
    x = 956,093,435,849,516,544/978,150,704.20
  6. Step 6: Final answer
    x = 977,450,030.70

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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.