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Finding the Fourth Proportional to 978,248,814.60, 1,467,373,221.90 and 668,312,423.40

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Solution

The fourth proportional to 978,248,814.60, 1,467,373,221.90 and 668,312,423.40 is: 1,002,468,635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,248,814.60 : 1,467,373,221.90 = 668,312,423.40 : x
  2. Step 2: Convert to fraction form
    978,248,814.60/1,467,373,221.90 = 668,312,423.40/x
  3. Step 3: Cross multiply
    978,248,814.60x = 1,467,373,221.90 × 668,312,423.40
  4. Step 4: Simplify right side
    978,248,814.60x = 980,663,753,960,254,976
  5. Step 5: Solve for x
    x = 980,663,753,960,254,976/978,248,814.60
  6. Step 6: Final answer
    x = 1,002,468,635.10

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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.