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Finding the Fourth Proportional to 498,294,855.60, 747,218,334.60 and 191,484,999.60

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Solution

The fourth proportional to 498,294,855.60, 747,218,334.60 and 191,484,999.60 is: 287,141,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,294,855.60 : 747,218,334.60 = 191,484,999.60 : x
  2. Step 2: Convert to fraction form
    498,294,855.60/747,218,334.60 = 191,484,999.60/x
  3. Step 3: Cross multiply
    498,294,855.60x = 747,218,334.60 × 191,484,999.60
  4. Step 4: Simplify right side
    498,294,855.60x = 143,081,102,501,993,664
  5. Step 5: Solve for x
    x = 143,081,102,501,993,664/498,294,855.60
  6. Step 6: Final answer
    x = 287,141,440.24

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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.