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Finding the Fourth Proportional to 201,204,646.40, 301,806,969.60 and 142,754,009.60

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Solution

The fourth proportional to 201,204,646.40, 301,806,969.60 and 142,754,009.60 is: 214,131,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,646.40 : 301,806,969.60 = 142,754,009.60 : x
  2. Step 2: Convert to fraction form
    201,204,646.40/301,806,969.60 = 142,754,009.60/x
  3. Step 3: Cross multiply
    201,204,646.40x = 301,806,969.60 × 142,754,009.60
  4. Step 4: Simplify right side
    201,204,646.40x = 43,084,155,035,625,312
  5. Step 5: Solve for x
    x = 43,084,155,035,625,312/201,204,646.40
  6. Step 6: Final answer
    x = 214,131,014.40

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