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Finding the Fourth Proportional to 472,407,269.40, 708,610,904.10 and 431,592,600.60

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Solution

The fourth proportional to 472,407,269.40, 708,610,904.10 and 431,592,600.60 is: 647,388,900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,407,269.40 : 708,610,904.10 = 431,592,600.60 : x
  2. Step 2: Convert to fraction form
    472,407,269.40/708,610,904.10 = 431,592,600.60/x
  3. Step 3: Cross multiply
    472,407,269.40x = 708,610,904.10 × 431,592,600.60
  4. Step 4: Simplify right side
    472,407,269.40x = 305,831,222,914,036,224
  5. Step 5: Solve for x
    x = 305,831,222,914,036,224/472,407,269.40
  6. Step 6: Final answer
    x = 647,388,900.90

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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.