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Finding the Fourth Proportional to 294,354,705.30, 440,575,464.15 and 294,354,705.30

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Solution

The fourth proportional to 294,354,705.30, 440,575,464.15 and 294,354,705.30 is: 440,575,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,354,705.30 : 440,575,464.15 = 294,354,705.30 : x
  2. Step 2: Convert to fraction form
    294,354,705.30/440,575,464.15 = 294,354,705.30/x
  3. Step 3: Cross multiply
    294,354,705.30x = 440,575,464.15 × 294,354,705.30
  4. Step 4: Simplify right side
    294,354,705.30x = 129,685,460,912,283,968
  5. Step 5: Solve for x
    x = 129,685,460,912,283,968/294,354,705.30
  6. Step 6: Final answer
    x = 440,575,464.15

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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.