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Finding the Fourth Proportional to 524,020,121.40, 784,518,527.70 and 524,020,121.40

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Solution

The fourth proportional to 524,020,121.40, 784,518,527.70 and 524,020,121.40 is: 784,518,527.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,020,121.40 : 784,518,527.70 = 524,020,121.40 : x
  2. Step 2: Convert to fraction form
    524,020,121.40/784,518,527.70 = 524,020,121.40/x
  3. Step 3: Cross multiply
    524,020,121.40x = 784,518,527.70 × 524,020,121.40
  4. Step 4: Simplify right side
    524,020,121.40x = 411,103,494,125,903,296
  5. Step 5: Solve for x
    x = 411,103,494,125,903,296/524,020,121.40
  6. Step 6: Final answer
    x = 784,518,527.70

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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.