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Finding the Fourth Proportional to 202,996,822.40, 304,495,233.60 and 49,640,883.20

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Solution

The fourth proportional to 202,996,822.40, 304,495,233.60 and 49,640,883.20 is: 74,461,324.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,996,822.40 : 304,495,233.60 = 49,640,883.20 : x
  2. Step 2: Convert to fraction form
    202,996,822.40/304,495,233.60 = 49,640,883.20/x
  3. Step 3: Cross multiply
    202,996,822.40x = 304,495,233.60 × 49,640,883.20
  4. Step 4: Simplify right side
    202,996,822.40x = 15,115,412,326,094,318
  5. Step 5: Solve for x
    x = 15,115,412,326,094,318/202,996,822.40
  6. Step 6: Final answer
    x = 74,461,324.80

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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.