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Finding the Fourth Proportional to 202,752,133.60, 304,128,200.40 and 202,752,133.60

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Solution

The fourth proportional to 202,752,133.60, 304,128,200.40 and 202,752,133.60 is: 304,128,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,752,133.60 : 304,128,200.40 = 202,752,133.60 : x
  2. Step 2: Convert to fraction form
    202,752,133.60/304,128,200.40 = 202,752,133.60/x
  3. Step 3: Cross multiply
    202,752,133.60x = 304,128,200.40 × 202,752,133.60
  4. Step 4: Simplify right side
    202,752,133.60x = 61,662,641,519,028,368
  5. Step 5: Solve for x
    x = 61,662,641,519,028,368/202,752,133.60
  6. Step 6: Final answer
    x = 304,128,200.40

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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.