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Finding the Fourth Proportional to 100,214,795.60, 140,492,032.60 and 100,214,795.60

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Solution

The fourth proportional to 100,214,795.60, 140,492,032.60 and 100,214,795.60 is: 140,492,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214,795.60 : 140,492,032.60 = 100,214,795.60 : x
  2. Step 2: Convert to fraction form
    100,214,795.60/140,492,032.60 = 100,214,795.60/x
  3. Step 3: Cross multiply
    100,214,795.60x = 140,492,032.60 × 100,214,795.60
  4. Step 4: Simplify right side
    100,214,795.60x = 14,079,380,330,437,536
  5. Step 5: Solve for x
    x = 14,079,380,330,437,536/100,214,795.60
  6. Step 6: Final answer
    x = 140,492,032.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.