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Finding the Fourth Proportional to 201,475,980.80, 302,139,321.60 and 65,165,811.20

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Solution

The fourth proportional to 201,475,980.80, 302,139,321.60 and 65,165,811.20 is: 97,724,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,475,980.80 : 302,139,321.60 = 65,165,811.20 : x
  2. Step 2: Convert to fraction form
    201,475,980.80/302,139,321.60 = 65,165,811.20/x
  3. Step 3: Cross multiply
    201,475,980.80x = 302,139,321.60 × 65,165,811.20
  4. Step 4: Simplify right side
    201,475,980.80x = 19,689,153,987,481,684
  5. Step 5: Solve for x
    x = 19,689,153,987,481,684/201,475,980.80
  6. Step 6: Final answer
    x = 97,724,571.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.