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Finding the Fourth Proportional to 463,510,454.40, 695,265,681.60 and 176,258,793.60

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Solution

The fourth proportional to 463,510,454.40, 695,265,681.60 and 176,258,793.60 is: 264,388,190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,510,454.40 : 695,265,681.60 = 176,258,793.60 : x
  2. Step 2: Convert to fraction form
    463,510,454.40/695,265,681.60 = 176,258,793.60/x
  3. Step 3: Cross multiply
    463,510,454.40x = 695,265,681.60 × 176,258,793.60
  4. Step 4: Simplify right side
    463,510,454.40x = 122,546,690,270,297,712
  5. Step 5: Solve for x
    x = 122,546,690,270,297,712/463,510,454.40
  6. Step 6: Final answer
    x = 264,388,190.40

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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.