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Finding the Fourth Proportional to 397,365,813.60, 596,048,720.40 and 311,177,893.20

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Solution

The fourth proportional to 397,365,813.60, 596,048,720.40 and 311,177,893.20 is: 466,766,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,365,813.60 : 596,048,720.40 = 311,177,893.20 : x
  2. Step 2: Convert to fraction form
    397,365,813.60/596,048,720.40 = 311,177,893.20/x
  3. Step 3: Cross multiply
    397,365,813.60x = 596,048,720.40 × 311,177,893.20
  4. Step 4: Simplify right side
    397,365,813.60x = 185,477,185,058,627,840
  5. Step 5: Solve for x
    x = 185,477,185,058,627,840/397,365,813.60
  6. Step 6: Final answer
    x = 466,766,839.80

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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.