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Finding the Fourth Proportional to 570,183,257.12, 786,852,894.60 and 309,422,873.12

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Solution

The fourth proportional to 570,183,257.12, 786,852,894.60 and 309,422,873.12 is: 427,003,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,183,257.12 : 786,852,894.60 = 309,422,873.12 : x
  2. Step 2: Convert to fraction form
    570,183,257.12/786,852,894.60 = 309,422,873.12/x
  3. Step 3: Cross multiply
    570,183,257.12x = 786,852,894.60 × 309,422,873.12
  4. Step 4: Simplify right side
    570,183,257.12x = 243,470,283,369,920,544
  5. Step 5: Solve for x
    x = 243,470,283,369,920,544/570,183,257.12
  6. Step 6: Final answer
    x = 427,003,564.78

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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.