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Finding the Fourth Proportional to 354,294,301.90, 494,864,110.10 and 354,294,301.90

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Solution

The fourth proportional to 354,294,301.90, 494,864,110.10 and 354,294,301.90 is: 494,864,110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,294,301.90 : 494,864,110.10 = 354,294,301.90 : x
  2. Step 2: Convert to fraction form
    354,294,301.90/494,864,110.10 = 354,294,301.90/x
  3. Step 3: Cross multiply
    354,294,301.90x = 494,864,110.10 × 354,294,301.90
  4. Step 4: Simplify right side
    354,294,301.90x = 175,327,534,423,244,224
  5. Step 5: Solve for x
    x = 175,327,534,423,244,224/354,294,301.90
  6. Step 6: Final answer
    x = 494,864,110.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.