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Finding the Fourth Proportional to 200,595,873.60, 300,893,810.40 and 114,502,431.60

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Solution

The fourth proportional to 200,595,873.60, 300,893,810.40 and 114,502,431.60 is: 171,753,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,595,873.60 : 300,893,810.40 = 114,502,431.60 : x
  2. Step 2: Convert to fraction form
    200,595,873.60/300,893,810.40 = 114,502,431.60/x
  3. Step 3: Cross multiply
    200,595,873.60x = 300,893,810.40 × 114,502,431.60
  4. Step 4: Simplify right side
    200,595,873.60x = 34,453,072,944,189,364
  5. Step 5: Solve for x
    x = 34,453,072,944,189,364/200,595,873.60
  6. Step 6: Final answer
    x = 171,753,647.40

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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.