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Finding the Fourth Proportional to 201,808,901.60, 282,723,781 and 201,808,901.60

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Solution

The fourth proportional to 201,808,901.60, 282,723,781 and 201,808,901.60 is: 282,723,781

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808,901.60 : 282,723,781 = 201,808,901.60 : x
  2. Step 2: Convert to fraction form
    201,808,901.60/282,723,781 = 201,808,901.60/x
  3. Step 3: Cross multiply
    201,808,901.60x = 282,723,781 × 201,808,901.60
  4. Step 4: Simplify right side
    201,808,901.60x = 57,056,175,699,808,944
  5. Step 5: Solve for x
    x = 57,056,175,699,808,944/201,808,901.60
  6. Step 6: Final answer
    x = 282,723,781

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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.