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Finding the Fourth Proportional to 201,811,697.60, 282,727,695.40 and 201,811,697.60

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Solution

The fourth proportional to 201,811,697.60, 282,727,695.40 and 201,811,697.60 is: 282,727,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811,697.60 : 282,727,695.40 = 201,811,697.60 : x
  2. Step 2: Convert to fraction form
    201,811,697.60/282,727,695.40 = 201,811,697.60/x
  3. Step 3: Cross multiply
    201,811,697.60x = 282,727,695.40 × 201,811,697.60
  4. Step 4: Simplify right side
    201,811,697.60x = 57,057,756,167,209,704
  5. Step 5: Solve for x
    x = 57,057,756,167,209,704/201,811,697.60
  6. Step 6: Final answer
    x = 282,727,695.40

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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.