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Finding the Fourth Proportional to 416,019,614.40, 624,029,421.60 and 295,087,262.40

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Solution

The fourth proportional to 416,019,614.40, 624,029,421.60 and 295,087,262.40 is: 442,630,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,019,614.40 : 624,029,421.60 = 295,087,262.40 : x
  2. Step 2: Convert to fraction form
    416,019,614.40/624,029,421.60 = 295,087,262.40/x
  3. Step 3: Cross multiply
    416,019,614.40x = 624,029,421.60 × 295,087,262.40
  4. Step 4: Simplify right side
    416,019,614.40x = 184,143,133,676,999,424
  5. Step 5: Solve for x
    x = 184,143,133,676,999,424/416,019,614.40
  6. Step 6: Final answer
    x = 442,630,893.60

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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.