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Finding the Fourth Proportional to 524,016,402.80, 786,024,604.20 and 360,757,727.60

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Solution

The fourth proportional to 524,016,402.80, 786,024,604.20 and 360,757,727.60 is: 541,136,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,016,402.80 : 786,024,604.20 = 360,757,727.60 : x
  2. Step 2: Convert to fraction form
    524,016,402.80/786,024,604.20 = 360,757,727.60/x
  3. Step 3: Cross multiply
    524,016,402.80x = 786,024,604.20 × 360,757,727.60
  4. Step 4: Simplify right side
    524,016,402.80x = 283,564,450,048,881,440
  5. Step 5: Solve for x
    x = 283,564,450,048,881,440/524,016,402.80
  6. Step 6: Final answer
    x = 541,136,591.40

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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.