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Finding the Fourth Proportional to 463,648,669.40, 695,473,004.10 and 415,275,728.60

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Solution

The fourth proportional to 463,648,669.40, 695,473,004.10 and 415,275,728.60 is: 622,913,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648,669.40 : 695,473,004.10 = 415,275,728.60 : x
  2. Step 2: Convert to fraction form
    463,648,669.40/695,473,004.10 = 415,275,728.60/x
  3. Step 3: Cross multiply
    463,648,669.40x = 695,473,004.10 × 415,275,728.60
  4. Step 4: Simplify right side
    463,648,669.40x = 288,813,058,499,258,304
  5. Step 5: Solve for x
    x = 288,813,058,499,258,304/463,648,669.40
  6. Step 6: Final answer
    x = 622,913,592.90

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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.