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Finding the Fourth Proportional to 430,635,101.60, 645,952,652.40 and 200,627,436.80

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Solution

The fourth proportional to 430,635,101.60, 645,952,652.40 and 200,627,436.80 is: 300,941,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,635,101.60 : 645,952,652.40 = 200,627,436.80 : x
  2. Step 2: Convert to fraction form
    430,635,101.60/645,952,652.40 = 200,627,436.80/x
  3. Step 3: Cross multiply
    430,635,101.60x = 645,952,652.40 × 200,627,436.80
  4. Step 4: Simplify right side
    430,635,101.60x = 129,595,824,945,173,376
  5. Step 5: Solve for x
    x = 129,595,824,945,173,376/430,635,101.60
  6. Step 6: Final answer
    x = 300,941,155.20

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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.