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Finding the Fourth Proportional to 610,416,701.10, 855,731,294.10 and 610,416,701.10

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Solution

The fourth proportional to 610,416,701.10, 855,731,294.10 and 610,416,701.10 is: 855,731,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,416,701.10 : 855,731,294.10 = 610,416,701.10 : x
  2. Step 2: Convert to fraction form
    610,416,701.10/855,731,294.10 = 610,416,701.10/x
  3. Step 3: Cross multiply
    610,416,701.10x = 855,731,294.10 × 610,416,701.10
  4. Step 4: Simplify right side
    610,416,701.10x = 522,352,673,572,555,904
  5. Step 5: Solve for x
    x = 522,352,673,572,555,904/610,416,701.10
  6. Step 6: Final answer
    x = 855,731,294.10

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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.