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Finding the Fourth Proportional to 65,284,893.30, 97,843,359.15 and 39,698,742.90

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Solution

The fourth proportional to 65,284,893.30, 97,843,359.15 and 39,698,742.90 is: 59,497,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,284,893.30 : 97,843,359.15 = 39,698,742.90 : x
  2. Step 2: Convert to fraction form
    65,284,893.30/97,843,359.15 = 39,698,742.90/x
  3. Step 3: Cross multiply
    65,284,893.30x = 97,843,359.15 × 39,698,742.90
  4. Step 4: Simplify right side
    65,284,893.30x = 3,884,258,359,368,212.50
  5. Step 5: Solve for x
    x = 3,884,258,359,368,212.50/65,284,893.30
  6. Step 6: Final answer
    x = 59,497,046.91

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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.