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Finding the Fourth Proportional to 416,019,714.40, 624,029,571.60 and 295,087,362.40

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Solution

The fourth proportional to 416,019,714.40, 624,029,571.60 and 295,087,362.40 is: 442,631,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,019,714.40 : 624,029,571.60 = 295,087,362.40 : x
  2. Step 2: Convert to fraction form
    416,019,714.40/624,029,571.60 = 295,087,362.40/x
  3. Step 3: Cross multiply
    416,019,714.40x = 624,029,571.60 × 295,087,362.40
  4. Step 4: Simplify right side
    416,019,714.40x = 184,143,240,343,045,952
  5. Step 5: Solve for x
    x = 184,143,240,343,045,952/416,019,714.40
  6. Step 6: Final answer
    x = 442,631,043.60

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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.