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Finding the Fourth Proportional to 463,649,342.40, 695,474,013.60 and 415,276,401.60

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Solution

The fourth proportional to 463,649,342.40, 695,474,013.60 and 415,276,401.60 is: 622,914,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,649,342.40 : 695,474,013.60 = 415,276,401.60 : x
  2. Step 2: Convert to fraction form
    463,649,342.40/695,474,013.60 = 415,276,401.60/x
  3. Step 3: Cross multiply
    463,649,342.40x = 695,474,013.60 × 415,276,401.60
  4. Step 4: Simplify right side
    463,649,342.40x = 288,813,945,774,117,504
  5. Step 5: Solve for x
    x = 288,813,945,774,117,504/463,649,342.40
  6. Step 6: Final answer
    x = 622,914,602.40

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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.