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Finding the Fourth Proportional to 463,649,583.20, 695,474,374.80 and 456,847,138.40

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Solution

The fourth proportional to 463,649,583.20, 695,474,374.80 and 456,847,138.40 is: 685,270,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,649,583.20 : 695,474,374.80 = 456,847,138.40 : x
  2. Step 2: Convert to fraction form
    463,649,583.20/695,474,374.80 = 456,847,138.40/x
  3. Step 3: Cross multiply
    463,649,583.20x = 695,474,374.80 × 456,847,138.40
  4. Step 4: Simplify right side
    463,649,583.20x = 317,725,477,957,909,056
  5. Step 5: Solve for x
    x = 317,725,477,957,909,056/463,649,583.20
  6. Step 6: Final answer
    x = 685,270,707.60

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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.