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Finding the Fourth Proportional to 267,461,148.30, 401,191,722.45 and 152,669,892.30

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Solution

The fourth proportional to 267,461,148.30, 401,191,722.45 and 152,669,892.30 is: 229,004,838.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,461,148.30 : 401,191,722.45 = 152,669,892.30 : x
  2. Step 2: Convert to fraction form
    267,461,148.30/401,191,722.45 = 152,669,892.30/x
  3. Step 3: Cross multiply
    267,461,148.30x = 401,191,722.45 × 152,669,892.30
  4. Step 4: Simplify right side
    267,461,148.30x = 61,249,897,058,092,992
  5. Step 5: Solve for x
    x = 61,249,897,058,092,992/267,461,148.30
  6. Step 6: Final answer
    x = 229,004,838.45

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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.