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Finding the Fourth Proportional to 416,017,810.40, 624,026,715.60 and 295,085,458.40

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Solution

The fourth proportional to 416,017,810.40, 624,026,715.60 and 295,085,458.40 is: 442,628,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,017,810.40 : 624,026,715.60 = 295,085,458.40 : x
  2. Step 2: Convert to fraction form
    416,017,810.40/624,026,715.60 = 295,085,458.40/x
  3. Step 3: Cross multiply
    416,017,810.40x = 624,026,715.60 × 295,085,458.40
  4. Step 4: Simplify right side
    416,017,810.40x = 184,141,209,426,672,416
  5. Step 5: Solve for x
    x = 184,141,209,426,672,416/416,017,810.40
  6. Step 6: Final answer
    x = 442,628,187.60

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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.