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Finding the Fourth Proportional to 27,662,693.40, 38,784,457.80 and 27,662,693.40

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Solution

The fourth proportional to 27,662,693.40, 38,784,457.80 and 27,662,693.40 is: 38,784,457.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,662,693.40 : 38,784,457.80 = 27,662,693.40 : x
  2. Step 2: Convert to fraction form
    27,662,693.40/38,784,457.80 = 27,662,693.40/x
  3. Step 3: Cross multiply
    27,662,693.40x = 38,784,457.80 × 27,662,693.40
  4. Step 4: Simplify right side
    27,662,693.40x = 1,072,882,564,806,638.38
  5. Step 5: Solve for x
    x = 1,072,882,564,806,638.38/27,662,693.40
  6. Step 6: Final answer
    x = 38,784,457.80

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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.