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Finding the Fourth Proportional to 65,212,380.40, 97,830,380.40 and 32,782,669.60

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Solution

The fourth proportional to 65,212,380.40, 97,830,380.40 and 32,782,669.60 is: 49,179,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212,380.40 : 97,830,380.40 = 32,782,669.60 : x
  2. Step 2: Convert to fraction form
    65,212,380.40/97,830,380.40 = 32,782,669.60/x
  3. Step 3: Cross multiply
    65,212,380.40x = 97,830,380.40 × 32,782,669.60
  4. Step 4: Simplify right side
    65,212,380.40x = 3,207,141,037,495,516
  5. Step 5: Solve for x
    x = 3,207,141,037,495,516/65,212,380.40
  6. Step 6: Final answer
    x = 49,179,941.26

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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.