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Finding the Fourth Proportional to 65,201,137.80, 97,801,706.70 and 19,757,027.40

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Solution

The fourth proportional to 65,201,137.80, 97,801,706.70 and 19,757,027.40 is: 29,635,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201,137.80 : 97,801,706.70 = 19,757,027.40 : x
  2. Step 2: Convert to fraction form
    65,201,137.80/97,801,706.70 = 19,757,027.40/x
  3. Step 3: Cross multiply
    65,201,137.80x = 97,801,706.70 × 19,757,027.40
  4. Step 4: Simplify right side
    65,201,137.80x = 1,932,270,999,038,663.50
  5. Step 5: Solve for x
    x = 1,932,270,999,038,663.50/65,201,137.80
  6. Step 6: Final answer
    x = 29,635,541.10

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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.