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Finding the Fourth Proportional to 497,785,803.10, 746,678,704.65 and 497,785,803.10

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Solution

The fourth proportional to 497,785,803.10, 746,678,704.65 and 497,785,803.10 is: 746,678,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,785,803.10 : 746,678,704.65 = 497,785,803.10 : x
  2. Step 2: Convert to fraction form
    497,785,803.10/746,678,704.65 = 497,785,803.10/x
  3. Step 3: Cross multiply
    497,785,803.10x = 746,678,704.65 × 497,785,803.10
  4. Step 4: Simplify right side
    497,785,803.10x = 371,686,058,651,867,968
  5. Step 5: Solve for x
    x = 371,686,058,651,867,968/497,785,803.10
  6. Step 6: Final answer
    x = 746,678,704.65

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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.