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Finding the Fourth Proportional to 279,200,294.01, 418,991,730.62 and 97,447,472.01

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Solution

The fourth proportional to 279,200,294.01, 418,991,730.62 and 97,447,472.01 is: 146,237,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,200,294.01 : 418,991,730.62 = 97,447,472.01 : x
  2. Step 2: Convert to fraction form
    279,200,294.01/418,991,730.62 = 97,447,472.01/x
  3. Step 3: Cross multiply
    279,200,294.01x = 418,991,730.62 × 97,447,472.01
  4. Step 4: Simplify right side
    279,200,294.01x = 40,829,684,941,526,672
  5. Step 5: Solve for x
    x = 40,829,684,941,526,672/279,200,294.01
  6. Step 6: Final answer
    x = 146,237,972.59

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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.