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Finding the Fourth Proportional to 517,967,269.80, 776,950,904.70 and 494,079,397.80

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Solution

The fourth proportional to 517,967,269.80, 776,950,904.70 and 494,079,397.80 is: 741,119,096.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,967,269.80 : 776,950,904.70 = 494,079,397.80 : x
  2. Step 2: Convert to fraction form
    517,967,269.80/776,950,904.70 = 494,079,397.80/x
  3. Step 3: Cross multiply
    517,967,269.80x = 776,950,904.70 × 494,079,397.80
  4. Step 4: Simplify right side
    517,967,269.80x = 383,875,435,114,341,248
  5. Step 5: Solve for x
    x = 383,875,435,114,341,248/517,967,269.80
  6. Step 6: Final answer
    x = 741,119,096.70

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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.