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Finding the Fourth Proportional to 315,579,610.60, 473,369,415.90 and 177,830,103.40

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Solution

The fourth proportional to 315,579,610.60, 473,369,415.90 and 177,830,103.40 is: 266,745,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,579,610.60 : 473,369,415.90 = 177,830,103.40 : x
  2. Step 2: Convert to fraction form
    315,579,610.60/473,369,415.90 = 177,830,103.40/x
  3. Step 3: Cross multiply
    315,579,610.60x = 473,369,415.90 × 177,830,103.40
  4. Step 4: Simplify right side
    315,579,610.60x = 84,179,332,175,894,608
  5. Step 5: Solve for x
    x = 84,179,332,175,894,608/315,579,610.60
  6. Step 6: Final answer
    x = 266,745,155.10

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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.