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Finding the Fourth Proportional to 100,602,002.40, 150,903,003.60 and 97,767,650.40

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Solution

The fourth proportional to 100,602,002.40, 150,903,003.60 and 97,767,650.40 is: 146,651,475.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,602,002.40 : 150,903,003.60 = 97,767,650.40 : x
  2. Step 2: Convert to fraction form
    100,602,002.40/150,903,003.60 = 97,767,650.40/x
  3. Step 3: Cross multiply
    100,602,002.40x = 150,903,003.60 × 97,767,650.40
  4. Step 4: Simplify right side
    100,602,002.40x = 14,753,432,100,274,742
  5. Step 5: Solve for x
    x = 14,753,432,100,274,742/100,602,002.40
  6. Step 6: Final answer
    x = 146,651,475.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.