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Finding the Fourth Proportional to 202,078,851.60, 303,118,277.40 and 202,078,851.60

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Solution

The fourth proportional to 202,078,851.60, 303,118,277.40 and 202,078,851.60 is: 303,118,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,078,851.60 : 303,118,277.40 = 202,078,851.60 : x
  2. Step 2: Convert to fraction form
    202,078,851.60/303,118,277.40 = 202,078,851.60/x
  3. Step 3: Cross multiply
    202,078,851.60x = 303,118,277.40 × 202,078,851.60
  4. Step 4: Simplify right side
    202,078,851.60x = 61,253,793,395,962,224
  5. Step 5: Solve for x
    x = 61,253,793,395,962,224/202,078,851.60
  6. Step 6: Final answer
    x = 303,118,277.40

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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.