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Finding the Fourth Proportional to 201,814,149.10, 282,731,127.50 and 201,814,149.10

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Solution

The fourth proportional to 201,814,149.10, 282,731,127.50 and 201,814,149.10 is: 282,731,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,814,149.10 : 282,731,127.50 = 201,814,149.10 : x
  2. Step 2: Convert to fraction form
    201,814,149.10/282,731,127.50 = 201,814,149.10/x
  3. Step 3: Cross multiply
    201,814,149.10x = 282,731,127.50 × 201,814,149.10
  4. Step 4: Simplify right side
    201,814,149.10x = 57,059,141,920,496,112
  5. Step 5: Solve for x
    x = 57,059,141,920,496,112/201,814,149.10
  6. Step 6: Final answer
    x = 282,731,127.50

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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.