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Finding the Fourth Proportional to 40,459,771.80, 60,689,657.70 and 40,207,829.40

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Solution

The fourth proportional to 40,459,771.80, 60,689,657.70 and 40,207,829.40 is: 60,311,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,459,771.80 : 60,689,657.70 = 40,207,829.40 : x
  2. Step 2: Convert to fraction form
    40,459,771.80/60,689,657.70 = 40,207,829.40/x
  3. Step 3: Cross multiply
    40,459,771.80x = 60,689,657.70 × 40,207,829.40
  4. Step 4: Simplify right side
    40,459,771.80x = 2,440,199,403,145,996.50
  5. Step 5: Solve for x
    x = 2,440,199,403,145,996.50/40,459,771.80
  6. Step 6: Final answer
    x = 60,311,744.10

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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.