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Finding the Fourth Proportional to 275,602,938.40, 413,404,407.60 and 233,991,108.10

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Solution

The fourth proportional to 275,602,938.40, 413,404,407.60 and 233,991,108.10 is: 350,986,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,602,938.40 : 413,404,407.60 = 233,991,108.10 : x
  2. Step 2: Convert to fraction form
    275,602,938.40/413,404,407.60 = 233,991,108.10/x
  3. Step 3: Cross multiply
    275,602,938.40x = 413,404,407.60 × 233,991,108.10
  4. Step 4: Simplify right side
    275,602,938.40x = 96,732,955,427,748,064
  5. Step 5: Solve for x
    x = 96,732,955,427,748,064/275,602,938.40
  6. Step 6: Final answer
    x = 350,986,662.15

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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.