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Finding the Fourth Proportional to 4,893,828.30, 7,340,742.45 and 4,893,828.30

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Solution

The fourth proportional to 4,893,828.30, 7,340,742.45 and 4,893,828.30 is: 7,340,742.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893,828.30 : 7,340,742.45 = 4,893,828.30 : x
  2. Step 2: Convert to fraction form
    4,893,828.30/7,340,742.45 = 4,893,828.30/x
  3. Step 3: Cross multiply
    4,893,828.30x = 7,340,742.45 × 4,893,828.30
  4. Step 4: Simplify right side
    4,893,828.30x = 35,924,333,144,821.34
  5. Step 5: Solve for x
    x = 35,924,333,144,821.34/4,893,828.30
  6. Step 6: Final answer
    x = 7,340,742.45

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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.