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Finding the Fourth Proportional to 5,314,842.40, 7,423,983.20 and 5,314,842.40

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Solution

The fourth proportional to 5,314,842.40, 7,423,983.20 and 5,314,842.40 is: 7,423,983.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314,842.40 : 7,423,983.20 = 5,314,842.40 : x
  2. Step 2: Convert to fraction form
    5,314,842.40/7,423,983.20 = 5,314,842.40/x
  3. Step 3: Cross multiply
    5,314,842.40x = 7,423,983.20 × 5,314,842.40
  4. Step 4: Simplify right side
    5,314,842.40x = 39,457,300,688,247.69
  5. Step 5: Solve for x
    x = 39,457,300,688,247.69/5,314,842.40
  6. Step 6: Final answer
    x = 7,423,983.20

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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.