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Finding the Fourth Proportional to 524,016,564.60, 786,024,846.90 and 330,146,887.80

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Solution

The fourth proportional to 524,016,564.60, 786,024,846.90 and 330,146,887.80 is: 495,220,331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,016,564.60 : 786,024,846.90 = 330,146,887.80 : x
  2. Step 2: Convert to fraction form
    524,016,564.60/786,024,846.90 = 330,146,887.80/x
  3. Step 3: Cross multiply
    524,016,564.60x = 786,024,846.90 × 330,146,887.80
  4. Step 4: Simplify right side
    524,016,564.60x = 259,503,656,937,506,464
  5. Step 5: Solve for x
    x = 259,503,656,937,506,464/524,016,564.60
  6. Step 6: Final answer
    x = 495,220,331.70

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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.