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Finding the Fourth Proportional to 659,652,493.60, 989,478,740.40 and 466,160,730.40

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Solution

The fourth proportional to 659,652,493.60, 989,478,740.40 and 466,160,730.40 is: 699,241,095.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,652,493.60 : 989,478,740.40 = 466,160,730.40 : x
  2. Step 2: Convert to fraction form
    659,652,493.60/989,478,740.40 = 466,160,730.40/x
  3. Step 3: Cross multiply
    659,652,493.60x = 989,478,740.40 × 466,160,730.40
  4. Step 4: Simplify right side
    659,652,493.60x = 461,256,132,340,135,936
  5. Step 5: Solve for x
    x = 461,256,132,340,135,936/659,652,493.60
  6. Step 6: Final answer
    x = 699,241,095.60

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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.