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Finding the Fourth Proportional to 610,416,704.10, 855,731,298.30 and 610,416,704.10

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Solution

The fourth proportional to 610,416,704.10, 855,731,298.30 and 610,416,704.10 is: 855,731,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416,704.10 : 855,731,298.30 = 610,416,704.10 : x
  2. Step 2: Convert to fraction form
    610,416,704.10/855,731,298.30 = 610,416,704.10/x
  3. Step 3: Cross multiply
    610,416,704.10x = 855,731,298.30 × 610,416,704.10
  4. Step 4: Simplify right side
    610,416,704.10x = 522,352,678,703,499,904
  5. Step 5: Solve for x
    x = 522,352,678,703,499,904/610,416,704.10
  6. Step 6: Final answer
    x = 855,731,298.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.