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Finding the Fourth Proportional to 524,448,223.40, 786,672,335.10 and 320,374,879.40

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Solution

The fourth proportional to 524,448,223.40, 786,672,335.10 and 320,374,879.40 is: 480,562,319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,448,223.40 : 786,672,335.10 = 320,374,879.40 : x
  2. Step 2: Convert to fraction form
    524,448,223.40/786,672,335.10 = 320,374,879.40/x
  3. Step 3: Cross multiply
    524,448,223.40x = 786,672,335.10 × 320,374,879.40
  4. Step 4: Simplify right side
    524,448,223.40x = 252,030,054,484,978,880
  5. Step 5: Solve for x
    x = 252,030,054,484,978,880/524,448,223.40
  6. Step 6: Final answer
    x = 480,562,319.10

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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.