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Finding the Fourth Proportional to 499,470,426.86, 749,463,970.55 and 362,425,910.05

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Solution

The fourth proportional to 499,470,426.86, 749,463,970.55 and 362,425,910.05 is: 543,826,314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,470,426.86 : 749,463,970.55 = 362,425,910.05 : x
  2. Step 2: Convert to fraction form
    499,470,426.86/749,463,970.55 = 362,425,910.05/x
  3. Step 3: Cross multiply
    499,470,426.86x = 749,463,970.55 × 362,425,910.05
  4. Step 4: Simplify right side
    499,470,426.86x = 271,625,161,573,428,896
  5. Step 5: Solve for x
    x = 271,625,161,573,428,896/499,470,426.86
  6. Step 6: Final answer
    x = 543,826,314.77

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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.