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Finding the Fourth Proportional to 470,994,866.15, 649,961,035.30 and 259,299,583.90

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Solution

The fourth proportional to 470,994,866.15, 649,961,035.30 and 259,299,583.90 is: 357,826,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,994,866.15 : 649,961,035.30 = 259,299,583.90 : x
  2. Step 2: Convert to fraction form
    470,994,866.15/649,961,035.30 = 259,299,583.90/x
  3. Step 3: Cross multiply
    470,994,866.15x = 649,961,035.30 × 259,299,583.90
  4. Step 4: Simplify right side
    470,994,866.15x = 168,534,626,004,205,632
  5. Step 5: Solve for x
    x = 168,534,626,004,205,632/470,994,866.15
  6. Step 6: Final answer
    x = 357,826,885.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.