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Finding the Fourth Proportional to 323,411,001.80, 485,116,502.70 and 177,788,294.60

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Solution

The fourth proportional to 323,411,001.80, 485,116,502.70 and 177,788,294.60 is: 266,682,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,411,001.80 : 485,116,502.70 = 177,788,294.60 : x
  2. Step 2: Convert to fraction form
    323,411,001.80/485,116,502.70 = 177,788,294.60/x
  3. Step 3: Cross multiply
    323,411,001.80x = 485,116,502.70 × 177,788,294.60
  4. Step 4: Simplify right side
    323,411,001.80x = 86,248,035,697,349,296
  5. Step 5: Solve for x
    x = 86,248,035,697,349,296/323,411,001.80
  6. Step 6: Final answer
    x = 266,682,441.90

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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.