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Finding the Fourth Proportional to 176,463,643.60, 264,695,465.40 and 135,648,974.80

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Solution

The fourth proportional to 176,463,643.60, 264,695,465.40 and 135,648,974.80 is: 203,473,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,463,643.60 : 264,695,465.40 = 135,648,974.80 : x
  2. Step 2: Convert to fraction form
    176,463,643.60/264,695,465.40 = 135,648,974.80/x
  3. Step 3: Cross multiply
    176,463,643.60x = 264,695,465.40 × 135,648,974.80
  4. Step 4: Simplify right side
    176,463,643.60x = 35,905,668,515,718,876
  5. Step 5: Solve for x
    x = 35,905,668,515,718,876/176,463,643.60
  6. Step 6: Final answer
    x = 203,473,462.20

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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.