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Finding the Fourth Proportional to 341,894,433.60, 512,841,650.40 and 147,670,462.80

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Solution

The fourth proportional to 341,894,433.60, 512,841,650.40 and 147,670,462.80 is: 221,505,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,894,433.60 : 512,841,650.40 = 147,670,462.80 : x
  2. Step 2: Convert to fraction form
    341,894,433.60/512,841,650.40 = 147,670,462.80/x
  3. Step 3: Cross multiply
    341,894,433.60x = 512,841,650.40 × 147,670,462.80
  4. Step 4: Simplify right side
    341,894,433.60x = 75,731,563,857,683,808
  5. Step 5: Solve for x
    x = 75,731,563,857,683,808/341,894,433.60
  6. Step 6: Final answer
    x = 221,505,694.20

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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.